A man borrowed $500 at a 12% annual interest rate and repaid it after 18 months. The calculated simple interest on the loan is $6.00.
To calculate simple interest, you can use the formula:
Simple Interest = [tex]\frac{P \times R \times T}{100}[/tex]
where:
- P is the principal amount (the initial amount borrowed),
- R is the rate of interest per annum, and
- T is the time the money is borrowed for in years.
In this case:
- P = $500,
- R = 12%(or 0.12 as a decimal), and
- T = 18 months (which is 1.5 years since [tex]\( \frac{18}{12} = 1.5 \))[/tex].
Now plug these values into the formula:
Simple Interest = [tex]\frac{500 \times 0.12 \times 1.5}{100}[/tex]
Calculate this expression to find the simple interest.
Simple Interest = [tex]\frac{500 \times 0.12 \times 1.5}{100}[/tex]
Simple Interest = [tex]\frac{90}{100}[/tex]
Simple Interest = $6.00
Therefore, the simple interest on a $500 loan at an annual interest rate of 12% over 18 months is $6.00.
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The complete question is:
A man borrows $500 and pays it back after 18 months at 12% per annum. Find the simple interest.
The simple interest is $90.
The formula for simple interest is:
I = PRT
Where:
I = the interest paid
P = the principal amount borrowed
R = the interest rate
T = the time period (in years)
We know that P = $500, R = 12% = 0.12, and T = 18 months = 18/12 = 1.5 years. We can now plug these values into the formula to solve for I:
I = $500 * 0.12 * 1.5 = $90
Therefore, the simple interest is $90.
The complete question is:
A man borrows $500 and pays it back after 18 months at 12% per annum. Find the simple interest.
3x+y-1=0 What does y=
47% of $118 estimate
Write each mixed number as a percent 2 1/2
Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
Answer:
24.8
Step-by-step explanation:
The next plane will arrive in 22 minutes and 30 seconds. In how many seconds will the next train arrive?
The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?
a school has a goal of getting at least 2000 boxtops. they have 872 so far.
they have 8 days left to get it.at least how many do they need to collect each day to meet or exceed their goal.
can some one please help with this PLEASE
mrs.dryson divided her collection of 52 glass bears into equal groups. she had one bear left over.how many groups did Mrs.dryson make how many bears are in each group
The total number of groups Mrs. Dryson made is 17 so that an equal amount of glass bear is in each group and this can be determined by using the arithmetic operations.
Given :
Mrs. Dryson divided her collection of 52 glass bears into equal groups. She had one bear left over.The following steps can be used in order to determine the total number of Mrs. Dryson make:
Step 1 - Arithmetic operations can be used in order to determine the total number of Mrs. Dryson make.
Step 2 - Remember according to the given data, there are 52 glass bears and she divided these bears into equal groups and after dividing she had one bear left.
Step 3 - So the total number of bears to divide into groups of equal quantity is given by:
= 52 - 1
= 51
Step 4 - Now, the number from which 51 is divided so that the answer comes is an integer is 3.
Step 5 - So, the total number of groups made by Mrs. Dryson is:
[tex]=\dfrac{51}{3}=17[/tex]
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−p(d+z)=−2z+59. solve for z.
we have
[tex]-p(d+z)=-2z+59[/tex]
Solve for z
[tex]-p(d+z)=-2z+59\\-pd-pz=-2z+59[/tex]
Group terms that contain the variable z, and move the other terms to the opposite side of the equation
[tex]-pz+2z=59+pd\\z(2-p)=59+pd[/tex]
Divide by [tex](2-p)[/tex] both sides
[tex]z=\frac{(59+pd)}{(2-p)}[/tex]
therefore
the answer is
[tex]z=\frac{(59+pd)}{(2-p)}[/tex]
Final answer:
The equation −p(d+z)=−2z+59 was solved for z by distributing the negative sign, combining like terms, and dividing by the coefficient of z, resulting in z = (59 + pd)/(2 - p).
Explanation:
The student asked to solve the equation −p(d+z)=−2z+59 for z. To solve for z, we need to isolate z on one side of the equation, following these steps:
Distribute the negative sign through the parentheses on the left side of the equation: −pd − pz = −2z + 59.
Move the terms containing z to one side of the equation: −pz + 2z = 59 + pd.
Combine like terms by adding pz to both sides: 2z + pz = 59 + pd or z(2 - p) = 59 + pd.
Divide both sides by (2 - p) to solve for z: z = (59 + pd)/(2 - p).
Now, z is isolated and the solution is given in terms of p and d.
a football team gains 8 yards in one play, then loses 5 yards in the next.How many yards did the team gain in these two plays
12x+28y=84 how do I graph it
Evaluate c-2 when c =7
Answer:
The value of given expression c-2 is 5 when c=7.
Step-by-step explanation:
The given expression
[tex]c-2[/tex]
We have to find the value of given expression c-2 when c=7.
Substitute c=7 in the given expression.
[tex]c-2=7-2[/tex]
[tex]c-2=5[/tex]
Therefore the value of given expression c-2 is 5 when c=7.
How many times larger is 9 x 10-8 than 3 x 10-12?
[tex]9\times10^{-8}[/tex] is [tex]3\times10^{4}[/tex] times larger than [tex]3\times10^{-12}[/tex].
The given number is [tex]9\times10^{-8}[/tex] and [tex]3\times10^{-12}[/tex].
We need to find how many times larger is [tex]9\times10^{-8}[/tex] than [tex]3\times10^{-12}[/tex].
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Now, [tex]\frac{9\times10^{-8}}{3\times10^{-12}}[/tex]
[tex]=3\times\frac{10^{-8}}{10^{-12}}[/tex]
[tex]=3\times10^{-8+12}[/tex] (∵[tex]\frac{a^{m}}{a^{n}} =a^{m-n}[/tex])
[tex]=3\times10^{4}[/tex]
Therefore, [tex]9\times10^{-8}[/tex] is [tex]3\times10^{4}[/tex] times larger than [tex]3\times10^{-12}[/tex].
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what is the midpoint of FB
Answer:d
Step-by-step explanation:
Which equation represents a line that passes through the two points in the table
Answer:
[tex]y-1=\frac{5}{4}(x-1)[/tex]
Step-by-step explanation:
we know that
The equation of the line into point slope for, is equal to
[tex]y-y1=m(x-x1)[/tex]
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
In this problem we have
[tex]A(1,1), B(5,6)[/tex]
Substitute the values
[tex]m=\frac{6-1}{5-1}[/tex]
[tex]m=\frac{5}{4}[/tex]
with the point A and the slope m find the equation of the line
substitute the values
[tex]y-1=\frac{5}{4}(x-1)[/tex]
A delivery truck made 8 stops in one neighborhood. By stop 5, there were 11 packages delivered. This graph shows this information.
How many stops did it take to have 5 packages delivered?
12
8
3
2
what is volume of a sphere with radius of 9 inches. Need to know the steps also.
The work is provided in the image attached.
Show how 10 - 4 helps you solve 30 - 4
[tex]\boxed{ \ 30 - 4 = \ ? \ }[/tex]
30 - 4 = ...
/ \
20 + 10
[tex]\boxed{ \ 10 - 4 = 6 \ }[/tex]
[tex]\boxed{ \ 20 + 6 = 26 \ }[/tex]
[tex]\boxed{ \ \boxed{ 30 - 4 = 26} \ }[/tex]
Further explanation
This material is part of the common core mathematics curriculum.
Show how 10 - 4 helps you solve 30 - 4.
We know 10 - 6 = 4.
Furthermore, we can take out 10 from 30 and subtract 6 from 10.
[tex]\boxed{ \ 10 - 4 = 6 \ }[/tex]
Then we can add what is left, which is 20 to add to 6.
20 + 6 = 26
So, results from 30 - 4 are 26.
Let's review the steps again.
[tex]\boxed{ \ 10 - 4 = 6 \ }[/tex]
[tex]\boxed{ \ 20 + 6 = 26 \ }[/tex]
[tex]\boxed{ \ \boxed{ 30 - 4 = 26} \ }[/tex]
Learn more4 times as much as 3 is ... https://brainly.com/question/5737299 ten thousands divided by ten https://brainly.com/question/545132²/₇m - ¹/₇ = ³/₁₄ solve step by step https://brainly.com/question/4853649Keywords: show how, 10 - 4, helps you, solve, 30 - 4, subtracts, add, waht is left, the common core mathematics curriculum
With the help of 10 - 4, the solution of 30 - 4 is 26.
Using 30 - 4 to solve 10 - 4
Since the subtracted value from 30 and 10 are the same (4) ;
Therefore,
The sum of the difference between :
(10 and 4) and (30 and 10)
(10 - 4) + (30 - 10)
6 + 20 = 26
Hence, from 10 - 4; 30 - 4 gives 26
Subtracting directly also gives :
30 - 4 = 6.
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I can't figure this out... Can someone please help me?
15/16 is 1 sixteenth group of what size?
15/16 is 1 sixteenth group of size 1.0667.
15/16 represents a fraction where the numerator (15) is smaller than the denominator (16), indicating that it is less than a whole. When we express 15/16 as a mixed number, we get 15/16 = 0.9375, which means it is almost a whole.
In terms of groups, 15/16 can be thought of as 15 groups of a certain size out of 16. To find out the size of each group, we divide the total (16) by the number of groups (15), which gives us 16 ÷ 15 = 1.0667. Therefore, 15/16 is 1 sixteenth group of size 1.0667.
In other words, if we divide the whole into 16 equal parts, each part would be approximately 1.0667 units in size, and taking 15 of these parts would give us 15/16 of the whole.
This demonstrates that fractions can be interpreted as division problems and can be represented in various ways to understand the concept more deeply.
What is the value of the underlined digit 53
Which of the following measurements could be the side lengths of a right triangle? A. 66 in, 88 in, 110 in
B. 66 in, 88 in, 132 in
C. 66 in, 99 in, 110 in
D. 55 in, 88 in, 110 in
please dont answer if not 100 % sure.
Answer:
Step-by-step explanation:
The cable is 50 yards long, viewing post is 40 yard high , how far is the bottom cable from the base of the viewing post
Use a bar model to find the unknown value: 3/6 = ?/7
Factor 5x2 - 7x + 2.
The factored form of the given expression 5x² - 7x + 2 is equal to (5x - 2)(x - 1).
To factor the quadratic expression 5x² - 7x + 2,
find two binomials in the form (ax + b)(cx + d) whose product gives us the original expression.
The general form of a quadratic expression is ax² + bx + c, where:
a = 5
b = -7
c = 2
To factor the expression, look for two numbers whose product is ac (5× 2 = 10) and whose sum is b (-7).
The two numbers are -5 and -2 because:
-5 × -2 = 10
-5 + (-2) = -7
Now, rewrite the middle term (-7x) using these two numbers:
5x² - 5x - 2x + 2
Next, we group the terms and factor them by grouping:
(5x² - 5x) + (-2x + 2)
Factor out the greatest common factor from each group:
5x(x - 1) - 2(x - 1)
Now, factor out the common binomial factor (x - 1):
(5x - 2)(x - 1)
Therefore, the factored form of 5x² - 7x + 2 is (5x - 2)(x - 1).
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Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.
Which statement is a counterexample to Gavin 's conjecture?
m∠A=30° and m∠B=60°
m∠A=25° and m∠B=25°
m∠A=10° and m∠B=15°
m∠A=45° and m∠B=45°
i just took the test answer is B hope that helped!
How many planes can two distinct lines have in common?
Write a problem involving how much more Than and solve it. Explain how drawing a diagram helped you solve the problem
on a tour of an old gold mine, you find a gold nugget containing .82 ounces of gold. gold is worth $1566.80 per ounce. how much is your gold worth?
The value of a gold nugget containing 0.82 ounces of gold at $1566.80 per ounce is $1284.776.
The value of a gold nugget containing 0.82 ounces of gold, given that gold is worth $1566.80 per ounce, can be calculated through a simple multiplication. The value of the gold nugget is found by multiplying the amount of gold in the nugget by the price per ounce of gold.
To calculate:
Multiply the weight of the gold nugget (0.82 ounces) by the value per ounce ($1566.80).0.82 ounces imes $1566.80/ounce = $1284.776Therefore, the gold nugget is worth $1284.776.
Which statements about opposites are true?
Select each correct answer.
A.The product of a number and its opposite is always 1.
B.A number and its opposite are located the same distance from zero on a number line.
C.The opposite of zero is zero.
The opposite of a negative number is always a positive number.
D.
B is true
D as well