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Harlamova29_29 [7]
2 years ago
13

In 5 years, a bank account with a 4.5% annual interest rate earned $3,375 as simple interest. What was the principal amount of t

he account.
Mathematics
2 answers:
belka [17]2 years ago
8 0

Answer:

$375.00

Step-by-step explanation:


vovikov84 [41]2 years ago
3 0

Answer: $15000

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

S.I.=P\times r\times t, where P is the principal amount , r is the rate of interest and t is the time period.

Given: Interest amount = $3,375

Rate of interest = 4.5%=0.045

Time period = 5 years

Let P be the principal amount, then we have

3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000

Hence, the principal amount of the account was $15000.

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Kaitlyn solved the equation for x using the following calculations. Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8. What error, if
omeli [17]

Step-by-step explanation:

The equation that Kaitlyn solved is as follows :

-5.4+x=12.2

The steps to solve it as follows :

Step 1. Add 5.4 to both sides,

-5.4+x+5.4=12.2+5.4

Step 2. 5.4 will cancel out as both have opposite signs

x=17.6

But Kaitlyn solved it as :

5.4.x=6.8

She has multiplied -5.4 and x which is wrong. The correct answer is 17.6.

3 0
2 years ago
What is the value of (5x²)³ + 16y divided by 4y for x=2 and y=3
Inessa05 [86]

Answer:

30 2/3

Step-by-step explanation:

First multiply the two exponents

Second solve 2^6

Third multiply 64 times 5 = 320

Then multiply 16 times 3

Then add sums together 368

Lastly multiply 4 times 3 then divide 368 by 12

I hope this helps :)

6 0
2 years ago
Laura owes $18,000 on her student loans. The interest rate on the bank loan is 2.5% and the interest rate on the federal loan is
Llana [10]

Answer:

The principal of the bank loan is $4,000

The principal of the federal lone is $14,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Laura owes $18,000 on her student loans

- The interest rate on the bank loan is 2.5%

- The interest rate on the federal loan is 6.9%

- The total amount of interest she paid last year was $1,066

* Assume that the principle of the bank loan is $x and The principal of

 the federal loan is $y

∵ Her loan is 18,000

∴ x + y = 18,000 ⇒ (1)

- The interest is I = PRT, where P is the principal, R is the rate of interest

  in decimal ant is the time

# <u><em>The bank lone</em></u>

∵ P = $x

∵ R = 2.5/100 = 0.025

∵ T = 1

∴ <em>The interest of the bank lone</em> = x(0.025)(1) = <em>0.025 x</em>

# <u><em>The federal lone</em></u>

∵ P = $y

∵ R = 6.9/100 = 0.069

∵ T = 1

∴ <em>The interest of the federal lone</em> = 9(0.069)(1) = <em>0.069 y</em>

- The total interest is the sum of the interest of the bank lone and the

  interest of the federal loan

∵ The total interest is $1,066

∴ 0.025 x + 0.069 y = 1,066 ⇒ (2)

* We have system of equations

- Multiply equation (1) by -0.025 to eliminate x

∴ -0.025 x - 0.025 y = -450 ⇒ (3)

- Add equations (2) and (3)

∴ 0.044 y = 616

- Divide both sides by 0.044

∴ y = 14,000

- Substitute value of y in equation (1) to find x

∴ x + 14000 = 18000

- Subtract 18000 from both sides

∴ x = 4000

∵ x represents the principal of the bake loan and y represents the

  principal of the federal lone

* The principal of the bank loan is $4,000

* The principal of the federal lone is $14,000

3 0
2 years ago
​<br> heres a screen shot since i cant explain it its kinda hard to me please help
stepan [7]

Answer:

yes

Step-by-step explanation:

12

6 0
1 year ago
Read 2 more answers
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the
Sindrei [870]

Answer:

y=-\frac{3}{4}x+36

Step-by-step explanation:

Givens

  • The railing will begin at 36 inches height.
  • The slant decreases 9 inches for every 12 horizontal inches.

According to the problem, the slant is

m=-\frac{9}{12}=-\frac{3}{4}

The initial condition of the function is 36, which is a constant. Also, the slant is negative, because the problem states that "decreases".

If we see the problem form the perspective of a linear function, the constant ratio of change would be the slant.

Therefore, the linear function that models this problem is

y=-\frac{3}{4}x+36

So, the answer is the first choice.

3 0
2 years ago
Read 2 more answers
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