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nydimaria [60]
3 years ago
9

Find the balance in the account after the given period. ​$2000 principal earning 6​% compounded​ annually, for 8 years. The bala

nce after 8 years will be ​$__?
Mathematics
2 answers:
Harman [31]3 years ago
8 0
Do 2000 divided by 8 than divided that by 6%
Alja [10]3 years ago
4 0
For this case we use the following formula:
 P (t) = P (1 + r / n) ^ (n * t)
 Substituting values we have:
 P (8) = 2000 * (1 + 0.06 / 1) ^ (1 * 8)
 P (8) = 3187.696149
 Rounding off we have:
 P (8) = 3187.7 $
 Answer:
 
The balance after 8 years will be $ 3187.7
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In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
salantis [7]

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

6 0
3 years ago
To make 4.5 cups of fruity granola, the recipe calls for 1.5 cups of raisins, 1 cup of granola, and 2 cups of blueberries. If yo
Levart [38]

Answer:

you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

Step-by-step explanation:

<u>Step 1: Find how much raisins are needed</u>

<em>For 4.5 cups of fruity granola, we need 1.5 cups of raisins</em>

<em>For 18 cups of fruity granola, we need y cups of raisins</em>

4.5 : 1.5

18 : y

<em>Cross multiply</em>

4.5y = 1.5 x 18

y = 27/4.5

y = 6 cups of raisins

<u>Step 2: Find how much granola is needed</u>

<em>For 4.5 cups of fruity granola, we need 1 cup of granola</em>

<em>For 18 cups of fruity granola, we need y cups of granola</em>

4.5 : 1

18 : y

<em>Cross multiply</em>

4.5y = 18

y = 4 cups of granola

<u>Step 3: Find how much blueberries are needed</u>

<em>For 4.5 cups of fruity granola, we need 2 cups of raisins</em>

<em>For 18 cups of fruity granola, we need y cups of blueberries</em>

4.5 : 2

18 : y

<em>Cross multiply</em>

4.5y = 2 x 18

y = 36/4.5

y = 8 cups of blueberries

Therefore, in order to make 18 cups of fruity granola, you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

5 0
4 years ago
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