If you invest $3,900 at a 7.83% simple annual interest rate, approximately how long will it take for you to have a total of $10,000?
a.
12 years
b.
15 years
c.
20 years
d.
30 years
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=?\ years\\ P=\$3,900\\ A=\$10,000\\r=0.0783[/tex]
substitute in the formula above
[tex]10,000=3,900(1+0.0783t)[/tex]
Solve for t
[tex]10,000/3,900=(1+0.0783t)[/tex]
[tex](10,000/3,900)-1=0.0783t[/tex]
[tex]0.0783t=1.5641[/tex]
[tex]t=1.5641/0.0783[/tex]
[tex]t=19.98\ years[/tex]
therefore
the answer is the option C
[tex]20\ years[/tex]
How many solutions does the system have?
x−3y=7
−2x+6y=6
Roy ia training for a race. He swims 1/4 lap in 3/5 minute. At that rate,how many minutes does it take roy to swin each lap?
Mrs. Fauskee went to the Farmers Market on Saturday and bought 5 oz of Strawberries, some spinach leaves and 2 3 oz jars of peach jam. The total weight of her purchases came to 20 oz. How many ounces (oz) of Spinach did Mrs. Fauskee buy? *
A 21
B 9
C 8
D 11
mx−y when m=1, x=5, and y=2
A television program lasts for 120 minutes. Of than time, 36 minutes are taken up by commercials. What is the length of the actual program without the commercials?
#24 please help I’m very confused on how to do this
The Students at Sunnyside School built a rectangular pyramid of aluminum cans for a world record. The top layer had 2 rows with 3 cans in each row. The second layer had 4 rows of 6 cans. The third layer had 8 rows of 12 cans. How many cans were in the eighth layer of the pyramid?
The eighth layer of the pyramid will have 280,896 cans.
Explanation:To find the number of cans in the eighth layer of the pyramid, we need to observe the pattern in the number of rows and cans in each layer. The pattern is that each layer doubles the number of rows and the number of cans in each row. The eighth layer will have 2^7 (128) rows and 3^7 (2187) cans in each row. Therefore, there will be a total of 128 * 2187 = 280,896 cans in the eighth layer of the pyramid.
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Please help me to answer these questions!! Thank you in advance.
1 - A string is cut into three pieces in the ratio 5 : 4 : 2. If the longest piece of string is 87 cm longer than the shortest piece of string, find the length of the string before it is being cut.
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2- A bookstore sold fiction books, textbooks and workbooks last month in the ratio 6 : 5 : 9 respectively. If the store sold 1350 workbooks, what was the total number of fiction books and textbooks sold that month??
=
Final answer:
The total length of the string before being cut was 319 cm. The bookstore, given the ratio of 6:5:9 for fiction books, textbooks, and workbooks, sold a total of 1650 fiction books and textbooks in a month.
Explanation:
Answer to String Ratio Problem
Let's represent the length of the longest piece of string as 5x, the medium piece as 4x, and the shortest piece as 2x, based on the given ratio 5:4:2. According to the problem, the longest piece is 87 cm longer than the shortest piece. Thus, we have:
5x - 2x = 87 cm
3x = 87 cm
x = 29 cm
Now, to find the total length of the string before cutting, we add up all the pieces:
Total length = 5x + 4x + 2x = 11x = 11(29 cm) = 319 cm
So, the string was 319 cm long before it was cut.
Answer to Bookstore Ratio Problem
In the bookstore problem, we're given the ratio of fiction books, textbooks, and workbooks sold as 6:5:9, respectively, and that 1350 workbooks were sold. If we denote the common ratio multiplier as y, we can represent the amounts of each as follows:
Fiction books = 6y, Textbooks = 5y, Workbooks = 9y = 1350
To find y, we solve 9y = 1350:
y = 150
Now, we can calculate the total number of fiction books and textbooks sold:
Fiction books = 6y = 6(150) = 900
Textbooks = 5y = 5(150) = 750
Total fiction books and textbooks = 900 + 750 = 1650
The bookstore sold a total of 1650 fiction books and textbooks.
Add. 4/5 + 3-1/10 Enter the sum in the box as a mixed number in simplest form.
Answer:
Step-by-step explanation:
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8b-12 for b =2.1
We have to evaluate it and idk how
After a 20% increase the new price of radio is $78.00. What was the original price of the radio
write two verbal expressions for n-5
A number less than five
OR
n minus five
Evaluate. 2−2⋅(12⋅3)−53
The answer is -116. I took the test
For his phone service, jim pays a monthly fee of $11, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is 61.84. What are the possible numbers of minutes he has used his phone in a month?
there are four cups in a quart and 4 quarts in a gallon how many cups are in a 5-gallon jug of water
What is the answer to 2/9-2/15
you have 5 buttons. which is the greatest number of buttons you can give away?
Alonzo and Miguel scored a total of 54 points in the basketball game. Miguel scored four more points than Alonzo. Write and solve a pair of simultaneous linear equations that represents the situation. Interpret the solution.
We will call A and M the scores obtained by Alonzo and Miguel respectively
A + M = 54 (Alonzo and Miguel scored a total of 54 points) Equation 1
M = A + 4 (Miguel scored four more points than Alonzo) Equation 2
We will substitute the value of M for the second equation in the first equation.
A + A + 4 = 54
2A = 54 - 4
A = 50/2 = 25 points (Alonzo scored this.)
M = A +4 = 25+4 = 29 points (Miguel scored this.)
Answer : Alonzo scored 25 points and Miguel scored 29 points
Checking
A + M = 25 points + 29 points = 54 points Check !
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
How do you write 6.012 as a fraction?
what expression is equivalent to 2.2-2.5?
Use a related multiplication equation to show why the equation 5/n = 0 has no solution
What is the distance between −131 and −87 on a number line?
how do you solve for missing leg of the Pythagorean theorem
An American teen consumes 115 grams of sugar less than 4 time the amount of grams of sugar a healthy teen consumes
How many grams of sugar does a healthy teen consumes?
What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0) ?
Answer: x + 5y - 15 = 0
Step-by-step explanation:
First, we find the slope
Given : x₁ = 2 y₁= 5 x₂= 3 y₂=0
m = y₂ - y₁ / x₂ - x₁
m = 0-5 / 3-2
m = -5 / 1 = -5
equation of a straight line;
y - y₁ = m (x - x₁)
y - 5 = -5(x - 2)
y - 5 = -5x + 10
y + 5x - 15 = 0
how do you solve p= 6s solve for s
The expression can be written in terms of p after making the subject as s the expression is s = p/6.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
p = 6s
To solve the above expression in terms of p make the subject as s
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by 6 on both sides:
p/6 = 6s/6
p/6 = s
Or
s = p/6
Thus, the expression can be written in terms of p after making the subject as s the expression is s = p/6.
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A store increases the price of a sweater from $20 to $22.
What is the percent of increase?
Answer:
The percent increase is [tex]\(10\%\).[/tex]
Explanation:
To find the percent increase, we use the formula:
[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]
Given:
- Original price = $20
- New price = $22
Substitute these values into the formula:
[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]
[tex]\[\text{Percent Increase} = \left( \frac{2}{20} \right) \times 100\%\][/tex]
[tex]\[\text{Percent Increase} = \left( 0.1 \right) \times 100\%\][/tex]
[tex]\[\text{Percent Increase} = 10\%\][/tex]
So, the percent increase is [tex]\(10\%\).[/tex]
Which of the following has the least value?
Two-order systems may be solved by subtraction. True False
This is True
answered false got it wrong
Answer:
true
Step-by-step explanation: