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IgorC [24]
3 years ago
12

Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?

Mathematics
1 answer:
andrew11 [14]3 years ago
6 0

Answer:

<em>She will pay $1,047.12 interest for one year</em>

Step-by-step explanation:

<u>Simple Interest</u>

Occurs when interest is calculated on the original principal only.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance or loan

r = interest rate

t = time

Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

I=\$17,452*0.06 *1

I = $1,047.12

She will pay $1,047.12 interest for one year

You might be interested in
Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
3 years ago
The base diameter and the height of a cone are both equal
vampirchik [111]

Answer:

1/3 times x squared divided by 4 times pi times x.

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
What value of x makes this statement true?<br><br> 3x = 2x+12
saul85 [17]

Answer:

x=12

Step-by-step explanation:

3x=2x+12

3x-2x=12

x=12

4 0
3 years ago
Read 2 more answers
Is 4.95 a terminating decimal
Snowcat [4.5K]

Answer:

Definitely

since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.

Step-by-step explanation:

6 0
3 years ago
You are planning to work in the summer (13 weeks). You
Llana [10]

Answer:

(a) Equations for both

y = 500 + 12x --- lifeguard

y = 15x --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

x \to hours

y \to total\ pay

Given

Lifeguard job

Signing\ bonus = \$500

Rate = \$12/hr

Camp counselor job

Signing\ bonus =\$0

Rate = \$15/hr

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

y = 500 + 12*x

y = 500 + 12x

Camp counselor

y = 0 + 15 * x

y = 15x

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

x = 5hrs/day * 5days

x = 25hrs

So, the pay for each is:

y = 500 + 12x

y =500 + 12*25

y =800 --- Lifeguard

y = 15x

y = 15 * 25

y = 375 --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

800 > 375

<em>Hence, lifeguard job pays more</em>

6 0
3 years ago
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