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natima [27]
3 years ago
9

An account earns simple interest. Find the principal.

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

$ 900

Step-by-step explanation:

Simple interest = Principle * Time * Rate / 100

Now by substituting :

27 = Principle * 2 * 1.5 / 100

Principle = 27 * 100 / 2 * 1.5

Principle = 2700 / 3

So Principle = $ 900

Hope it helps

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Select the correct answer from each drop-down menu. Julie invests $200 per month in an account that earns 6% interest per year,
Alona [7]

Answer:

After 10 years, Julie's account balance will be $ 363.88 and Leah's account balance will be $ 411.75, thus Leah will have more money in her account.

Step-by-step explanation:

Since Julie invests $ 200 per month in an account that earns 6% interest per year, compounded monthly, and Leah invests $ 250 per month in an account that earns 5% interest per year, compounded monthly, to determine the amount of each after 10 years, the following calculations must be performed:

200 x (1 + 0.06 / 12) ^ 10x12 = X

200 x 1.005 ^ 120 = X

200 x 1.8193 = X

363.88 = X

250 x (1 + 0.05 / 12) ^ 10x12 = X

250 x 1.00416 ^ 120 = X

250 x 1.647 = X

411.75 = X

Therefore, after 10 years, Julie's account balance will be $ 363.88 and Leah's account balance will be $ 411.75, thus Leah will have more money in her account.

5 0
3 years ago
Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
bija089 [108]

Answer:

The answer is (-5,2)

Step-by-step explanation:

So we have 2 equations and we need to solve them by substitution.

1) y = 4x + 22

2) 4x – 6y = –32

Since we already have y isolated in equation #1, we'll use that value in equation #2:

4x - 6(4x + 22) = -32

4x - 24x - 132 = -32

-20x = 100

x = -5

Then we put that value of x in the first equation:

y = 4 (-5) + 22 = -20 + 22 = 2

The answer is then (-5,2)

8 0
3 years ago
Read 2 more answers
Triangle tic is an isosceles triangle with vertex angle i if the measure of < i=70 then find the measure of < t a- 70 b-11
Andreas93 [3]

Answer:

The answer is the option C

55\°

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

The two equal angles are called the base angles, and the third angle is called the vertex angle

In this problem we have the isosceles triangle TIC

∠I=70\° -----> vertex angle

∠T=∠C -----> base angles

Remember that the sum of the internal angles of a triangle is equal to 180\°

so

∠I+∠T+∠C=180\°

∠I+2∠T=180\°

Substitute

70\°+2∠T=180\°

Solve for angle T

2∠T=180\°-70\°

∠T=110\°/2

∠T=55\°

8 0
3 years ago
Read 2 more answers
Anyone want to help me out on this question?
kvasek [131]
Answer:

i think it’s 2/7
5 0
3 years ago
there are 8 pieces of fruit in a basket including 4 apples what is the probability that a randomly selected piece of fruit will
Helen [10]

Answer:

\frac{1}{2} is the probability for picking fruits and it will be apple.

Explanation:

probability of picking apple: \boxed{\frac{total -apples}{total-fruits} } →  \frac{4}{8}  →  \frac{1}{2}

7 0
3 years ago
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