If point C is between points A and B, then AC+CB = A. ABC B. BC C. AB D. CA

Sarah's two student loans totaled $12,000. One of her loans was at 6% simple interest and the other at 3%. After one year, Sarah

8_murik_8 [283]

Answer:

The loans are $4500 and $7500 respectively

Step-by-step explanation:

Let the principal amount of the two loans be x and y respectively.

This means x + y = 12,000 (I)

Now, for the first principal x, interest accrued will be

I = PRT/100

I = x * 6 * 1/100 = 6x/100

For the second principal, interest accrued will be;

I = y * 3 * 1/100 = 3y/100

Since the total interest is $585

That would be;

6x/100 + 3y/100 = 585

6x + 3y = 58500 (ii)

Now we have two equations to solve simultaneously.

Substitute x = 12,000 - y in equation ii

6(12000- y) + 3y = 58,500

72000 - 6y + 3y = 58500

3y = 72000 - 58500

3y = 13,500

y = 13,500/3 = 4,500

x = 12,000 - y = 12000 - 4500 = 7,500

Hence the loan at 6% is 7,500 while the loan at 3% is 4,500

3 0

3 years ago

A 30 feet tall building casts a 5 foot shadow. what is the suns angle of inclination

ohaa [14]

Make a drawing of the situation:

Recalling the tangent trigonometric relationship, if the angle of inclination is A, then:

$\begin{gathered} \tan (A)=\frac{30\text{ feet}}{5\text{ feet}} \\ \Rightarrow\tan (A)=6 \end{gathered}$

Use the inverse tangent function to find the value of A:

$A=\tan ^{-1}(6)$

Use a calculator to find the numerical value of the inverse tangent of 6:

$A=80.52767779\ldots$

Therefore, the angle of inclination of the Sun is approximately 80.5°.

8 0

1 year ago

a town has an area of 10.4 mi squared. The towns population is 3619. What I the population density of the town?

Bond [772]

To get the answer you divide the people by the area and it comes out to be 347.980769

8 0

3 years ago

Read 2 more answers

Omar bought a pastry from the bakery near his apartment. The pastry was $2.80, and he paid 5% sales tax. How much did Omar pay i

adelina 88 [10]

Answer:2.94

Step-by-step explanation:2.80*1.05=2.94

6 0

2 years ago

A bag contains 4 red marbles, 10 white, and 6 green. Once a marble is drawn it is not

Lyrx [107]

Answer:

D

Step-by-step explanation:

4 0

3 years ago

If point C is between points A and B, then AC+CB = A. ABC B. BCC. AB D. CA​

If point C is between points A and B, then AC+CB = A. ABC B. BCC. AB D. CA