A total of $5000 was invested in two accounts. One pays 5% annual interest, and the second pays 7% annual interest. If the first-year interest is $325, how much was invested in each account?
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Related Questions
Fred Johnson's total insurance premium is $1,200. His employer pays 60% of the total premium. How much does Fred pay? $480 $720 $2,000 $3,000
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Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Amount of Fred Johnson's total insurance premium = $1200
Percentage of total premium his employer pays = 60%
Remaining percentage of total premium he pays is given by
[tex]100\%-60\%=40\%[/tex]
So, amount of insurance premium Fred Johnson pay is given by
[tex]\frac{40}{100}\times 1200\\\\=40\times 12\\\\=\$480[/tex]
Hence, First option is correct.
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel? The numbers can be added in any order. The number 45 must be the first addend, and 35 must be the last addend. The numbers must be added in the order 45, 90, 70, 20, and 35. The numbers must be added in either the order 45, 90, 70, 20, and 35 or the order 35, 20, 70, 90, and 45.
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Answer:
The numbers must be added in the order 45, 90, 70, 20, and 35.
Step-by-step explanation:
Answer:
The numbers must be added in the order 45, 90, 70, 20, and 35
Step-by-step explanation:
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Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year. Round your answer to the nearest tenth. b. Write an equation that represents the length y (in inches) of your hair after x years. c. How long is your hair after 4 years?
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B) 56.7x + 6
C) 232.8 inches
The rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.
As mentioned in the question,
Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
1 inch = 25.4 millimeters,
For, also 1 millimeters = 1 / 25.4 inches,
So,
144 millimeters per year = 144 / 25.4 inches per year
= 5.67 inches per year
Now,
Growth after 4 years,
= 4 × 5.67 + 6
= 28.68
Thus, the rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.
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What is 600000-347201
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What kind of graph is this?
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5.6 times what equals to -19.04
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/5.6. /5.6
-3.4 = x
just divide -19.04 by 5.6 and you get -3.4
The given equation can be rearranged as a division problem: -19.04 divided by 5.6. The solution to this is -3.4. Thus, 5.6 times -3.4 equals -19.04.
Explanation:To answer the question, we must find the unknown variable in your given equation, where you are multiplying a number (5.6) by some unknown figure to get -19.04. This type of math problem is a division problem arranged differently. Instead of saying '5.6 times what equals to -19.04', we can rearrange it to say '-19.04 divided by 5.6 equals what'.
To get the answer, simply divide -19.04 by 5.6, which equals -3.4. So 5.6 times -3.4 equals -19.04.
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The product P of two consecutive natural numbers, the first of which is N
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The product of two consecutive natural numbers, with the first being [tex]\( N \),[/tex]is [tex]\( N \times (N + 1) \).[/tex]
The product [tex]\( P \)[/tex] of two consecutive natural numbers can be expressed as the product of a number and its consecutive number. So, if the first number is [tex]\( N \),[/tex] then the second number would be [tex]\( N + 1 \).[/tex] Therefore, the product [tex]\( P \)[/tex] can be written as:
[tex]\[ P = N \times (N + 1) \][/tex]
Expanding this, we get:
[tex]\[ P = N^2 + N \][/tex]
This represents the product of two consecutive natural numbers where [tex]\( N \)[/tex] is the first number.
Find the equation of the ellipsoid passing through the points (±7,0,0),(0,±1,0)(±7,0,0),(0,±1,0) and (0,0,±4)
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Information about a shipment of mirrors to a local store is shown.
Of all of the medium mirrors that were shipped, how many of them were broken?
A. 68
B. 78
C. 164
D. 208
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480-214-102= 164
From here, subtract the number of mirrors that are not broken.
164-96= 68
Final answer: 68 broken medium mirrors, A
The table is an illustration of a two-way table
The number of medium mirrors that were not broken are 68
Start by calculating the number of medium mirrors
Medium = 480 - 214 - 102
Evaluate the difference
Medium = 164
From the question 96 mirrors are not broken.
So, the number of broken mirror is:
Broken = 164 - 96
Evaluate the difference
Broken = 68
Hence, the number of medium mirrors that were not broken are 68
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The airport garage charges $5 to park for the first hour and then $3.50 an hour for any additional hours. Ben paid $57.50 to park there one day when he flew to another city. How many hours was he parked at the airport?
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Final answer:
Ben was parked at the airport for a total of 16 hours, after calculating the initial cost for the first hour and then dividing the remainder by the hourly rate for additional hours.
Explanation:
The student's question asks how many hours Ben was parked at the airport, given that the parking cost is $5 for the first hour and $3.50 for each additional hour, with a total fee of $57.50.
First, we subtract the initial $5 from the total cost to determine the cost of additional hours:
$57.50 - $5 = $52.50 for additional hours
Next, we divide the remaining cost by the hourly rate for additional hours to find the number of additional hours Ben parked:
$52.50 ÷ $3.50/hour = 15 hours
Finally, we add the first hour to the additional hours to calculate the total hours parked:
15 hours + 1 hour = 16 hours
Thus, Ben was parked at the airport for a total of 16 hours.
Which linear inequality is represented by the graph?
a.y >2/3 x – 2
b.y < 2/3x + 2
c.y2/3 > 2/.+ 1
d.y<2/3 x – 1
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The graph of g(x) is the graph of f(X) = x + 6 reflected across the x-axis. Which equation describes g? Question 3 options: g(x) = -x + 6 g(x) = -6x - 6 g(x) = -x - 6 g(x) = x - 6
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f(x) = x + 6
What is the equation for the reflection across the x-axis? since the y-value is the opposite of its normal value at every point, g(x) = -f(x)
g(x) = -f(x)
g(x) = -(x+6)
g(x) = -x - 6
Third choice is the answer
Which of the following is the best example of a characteristic of an experiment?
a.Participants should be selected into the treatment group randomly.
b.Participants are rarely aware that they are part of an experiment.
c.Participants are observed without researchers making changes to their behaviors.
d.The results of an experiment are based on a questionnaire given to a random sample of the population.
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One of the basic feature of an experiment is the selection of participants by means of random method. It is very important to select participants randomly in order to avoid experimental bias that may occur as a result of the participants not been an exact representation of the concerned population.
georgia is making sock puppets.each pair of sock puppets cost $2 georgia bought six pairs of sock puppets.how much did she spend
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Georgia spent a total of $12 on six pairs of sock puppets, with each pair costing $2.
Georgia is calculating the total cost of sock puppets she purchased. The cost per pair is $2, and she bought six pairs. To find out how much she spent, we need to multiply the cost per pair by the number of pairs she bought.
Calculation:
Cost per pair of sock puppets = $2
Number of pairs = 6
Total cost = Cost per pair * Number of pairs
Total cost = $2 * 6
Total cost = $12
Therefore, Georgia spent $12 on sock puppets.
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together e evenings.
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number of evening playing chess: e
number of minutes = 30 minutes / play * number of evening playing chess
=> m = 30e
Answer: m = 30e
Enter the degree of the polynomial
5x5 + 8x2 + 2x – 3x9 – 8x4 – 4x5
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The degree of a term is the sum of the exponents of all the variables of the term,. A plain variable has degree 1.
One term is -3x^9.
That has the largest exponent of any term, so the degree is 9.
Answer:
9
Step-by-step explanation:
I got it right on ape-x
Amanda used 3/4 cup of sugar to make 2 dozen cookies. How much sugar is in each cookie? (Dozen=12)
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Quick i need help! (includeing pic)
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Write these decimal fractions in words 0.17
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One tenth and seven hundredth
Seventeen hundredth
What point on the unit circle corresponds to an angle of 173º
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The point on the unit circle that corresponds to an angle of 173º is approximately (-0.9917, 0.1288), derived by converting the angle to radians, then calculating the cosine and sine for the x and y coordinates respectively.
Explanation:To find the point on the unit circle that corresponds to an angle of 173º, we first need to convert the angle from degrees to radians. We use the conversion factor of π/180 radians per degree, so 173 degrees is equal to (173)*(π/180) = 3.02 radians.
On the unit circle, the x-coordinate of a point corresponds to the cosine of the angle, and the y-coordinate corresponds to the sine of the angle. In this case, the x-coordinate would be cos(3.02) ≈ -0.9917, and the y-coordinate would be sin(3.02) ≈ 0.1288.
So, the point on the unit circle that corresponds to an angle of 173º is approximately (-0.9917, 0.1288).
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Find the product. Type your answer in the provided space. Do not use spaces in your answer. To demonstrate an exponent, use the ^ key. For example, x 2should be typed in as x^2.
3x 3 y · 5x 2 y
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Final answer:
To find the product of [tex]3x^{3y}[/tex] and [tex]5x^{2y}[/tex], multiply 3 and 5 to get 15, then add exponents of x (3 and 2) and y (1 and 1, because y = [tex]y^{1}[/tex]) to get [tex]15x^{5y^{2} }[/tex].
Explanation:
The student's question involves the multiplication of exponentials. When multiplying variables with exponents, we multiply the coefficient (numerical part) and add the exponents of like bases.
Given the expression [tex]3x^{3y}[/tex].[tex]5x^{2y}[/tex], we multiply the coefficients (3 and 5) and add the exponents of like bases (“3” for x and “1” for each y, since no exponent means 1).
The result is [tex]15x^{(3+2)y^{1+1} }[/tex], which simplifies to [tex]15x^{5y^{2} }[/tex].
The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft. l = ft
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The slant height (l) of this cone is equal to 18.33 feet.
Given the following data:
Surface area of cone = 500π [tex]ft^2[/tex].Radius of cone = 15 ft.To calculate the slant height (l) of this cone:
How to calculate surface area.Mathematically, the surface area (SA) of a cone is given by this formula:
[tex]SA = \pi r(l + r)[/tex]
Where:
l is the slant height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]500 \pi = \pi \times 15(l + 15)\\\\500=15(l + 15)\\\\500=15l+225\\\\15l=500-225\\\\15l=275\\\\l=\frac{275}{15}[/tex]
Slant height, l = 18.33 feet.
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The slant height of a cone with a surface area of 500π square feet and a radius of 15 feet is 275 feet.
Explanation:The question asks for the slant height of a cone, given that the surface area (S) is 500π square feet and the radius (r) is 15 feet. No explicit formula for the slant height is provided.
We know the formula for the surface area of a cone is S = πrl + πr², where r is the radius, l is the slant height, and π is a constant (approximately 3.14).
By rearranging this equation, subtracting the base area from the surface area and then dividing by πr, we can solve for l: l = (S - πr²)/πr.
Plugging in the provided numbers: l = (500π - π*(15 ft)²)/(π * 15 ft). Simplifying this equation gives: l = (500 - 225) ft = 275 ft. Therefore, the slant height of the cone is 275 feet.
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Which equivalent expression demonstrates the commutative property? Check all the apply.
13 + 2 + 9 = 2 + 13 + 9
8 + 0 = 8
9(8 + 45) = 9(8) + 9(45)
[29(14)] + 45 = [14(29)] + 45
29(14 + 45) = 14(29) + 45
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Answer:
13+2+9=2+13+9
[29(14)]+45=[14(29)]+45
Step-by-step explanation:
The equivalent expressions 13 + 2 + 9 = 2 + 13 + 9 and [29(14)] + 45 = [14(29)] + 45 demonstrate the commutative property, according to which the order in which numbers are added or multiplied does not change the result.
Explanation:The commutative property in mathematics is the property that states the order in which numbers are added or multiplied does not change the result. So, looking at the given options, the expressions that demonstrate the commutative property are:
13 + 2 + 9 = 2 + 13 + 9 [29(14)] + 45 = [14(29)] + 45
The other options do not represent the commutative property.
The operation 8 + 0 = 8 is an instance of identity property of addition because any number added to zero gives that number. The expression 9(8 + 45) = 9(8) + 9(45) is an application of the distributive property (where a(b + c) = ab + ac), and 29(14 + 45) = 14(29) + 45 is not a valid mathematical equation since it doesn't balance equally on both sides.Learn more about Commutative Property here:https://brainly.com/question/5637942
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How many more equal angles does a square have than a rectangle
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Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.
f(x−3.5) -->
3.5f(x)-->
f(x)
is translated 3.5 units down.
f(x)
is translated 3.5 units left.
f(x)
is vertically compressed by a factor of 3.5.
f(x)
is translated 3.5 units up.
f(x)
is vertically stretched by a factor of 3.5.
f(x)
is translated 3.5 units right.
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You can figure that out by thinking that for x = 3.5 (which is 3.5 units to the right of x = 0, f(3.5 - 3.5) is the same that f(0), ... for x = 10.5 (which is 3.5 units to the right of x = 7, f(10.5 - 3.5) = f(7) ... and so for every value of x.
For 3.5 f(x) the answer is that f(x) is vertically stretched by a factor of 3.5 which you figure out from a table like this:
f(x) 3.5 f(x)
0 0
1 3.5
2 7
10 35
And from that you can see the 3.5 f(x) is horizontally compressed and vertically stretched respect to f(x).
Answer:
3.5f(x) is vertically streched and f(x-3.5) is transaleted 3.5 units up
Step-by-step explanation:
Fred worked on Monday and Tuesday, earning $109.30 total for the two days. He had Wednesday off, made $67.89 on Thursday, had a half day on Friday making $35.12, and made $87.34 on Saturday. What is the total amount of money he made that week?
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Ming says that 0.24 > 1414 because 0.24 = 2424
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Final answer:
To compare numbers, we look at their values from left to right. In this case, 1414 is greater than 0.24 due to the magnitude of the numbers.
Explanation:
The student's statement is incorrect. To compare numbers, you look at the digits from left to right, so 0.24 is less than 1 as it's closer to zero. Meanwhile, 1414 is a much larger number because it's in the thousands range.
Therefore, 1414 > 0.24, not the other way around. The student's reasoning based on the equality with 2424 is inaccurate in the context of comparing these two numbers.
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
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i m here to
help u
I hope u know the point -slope form
,here, the equation will be
y+3= -6x -54
which expression is represented by the model below?
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Solve the following equations. Some equations will have a single answer, others will have no solution, and still others will have infinite solutions
1. 2x + 2x + 2 = 4x + 2
2. 3(x − 1) = 2x + 9
3. 2x + 8 = 2(x + 4)
4. 2x − x + 7 = x + 3 + 4
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3(x − 1) = 2x + 9 = x=9
All values of x are solutions
All values of x are solutions