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densk [106]
3 years ago
10

David borrows $15,000 for a new car. He is charged 6% simple interest per year. If he paid $4500 in interest, how many years did

it take him to repay the loan?
Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

Answer:

5 years

Step-by-step explanation:

Given that:

Amount borrowed = principal = p = $15000

Interest % per year = r = 6% = 0?06

Total Interest paid = $4500

Number of years it took to repay the loan (t) =?

Simple interest = (p * r * t)

4500 = (15000 * 0.06 * t)

4500 = 900t

4500 / 900 = t

5 = t

It tool 5 years to repay the loan

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Simplify the expression to a polynomial in standard form ​
Nadusha1986 [10]

Answer:

what exspresion

Step-by-step explanation:

4 0
2 years ago
Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2
Arturiano [62]
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)
5 0
3 years ago
A manager bought lunch for his coworkers. Each person picked either a salad or a burger. The salads cost $5 each and the burgers
Monica [59]

Answer: 8

Step-by-step explanation: You divide 102/13=7.84615385. Rounded answer 8.

6 0
2 years ago
Please help me……………………………………………………………
Irina18 [472]

Hey there! :)

Answer:

x = -6.

Step-by-step explanation:

Given:

\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}

Cube both sides:

5x - 4 = 7x + 8

Subtract 5x from both sides:

-4 = 2x + 8

Subtract 8 from both sides:

-12 = 2x

x = -6.

3 0
3 years ago
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) \pi + (-\pi) = 0

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

1 - 2 = -1

5 - 5 = 0

\frac{1}{2} - \frac{1}{4} = \frac{1}{2}

4 - 2 = 2

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

In the given options (a) to (d), only

\pi + (-\pi) = 0 is not close under addition because:

\pi is irrational while 0 is rational

<em>In other words, they belong to different set</em>

8 0
2 years ago
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