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Eva8 [605]
3 years ago
11

You deposit $500 in an account that pays 8% annual interest compounded yearly. What is the account balance after six years? Form

ula: A=C(1+r)t
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0
Principal, P = $500
r =8% = 0.08, the interest rate
n = 1, the compounding interval
t = 6 years

The value after 6 years is
A = P(1 +  \frac{r}{n} )^{nt}
That is,
A = $500*(1 + 0.08)⁶ = $793.44

Answer: $793.44

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Joseph and Wendy were catching tadpoles. At first Wendy caught nine times three more than Joseph caught. Joseph was upset and re
Dmitriy789 [7]

Answer:

Joseph caught 7 tadpoles

Step-by-step explanation:

Let the number of tadpoles caught by Joseph be x

The number of tadpoles Wendy caught will be ;

9(x + 3)

After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;

Hence, mathematically;

9(x + 3)/2 - 6x = 3

Multiply through be 2

9(x + 3) - 12x = 6

9x + 27 -12x = 6

9x -12x = 6-27

3x = 21

x = 21/3

x = 7

6 0
4 years ago
What is the exact value of sin -840
dsp73
First subtract  2 revolutions from the - 840 :-    (- (840-720)  = -120

This gives  sin -120  which is in the 3rd quadrant of the unit circle

sin -120  =  - sin 60  = - sqrt3/2
7 0
4 years ago
Does anyone know this? Needed ASAP
anzhelika [568]

Answer:

50 square units

Step-by-step explanation:

Using the formula provided, a = \frac{1}{2}h(b_1+b_2), substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50

Hope this helped!

4 0
3 years ago
Read 2 more answers
I need help on 21 . Please
kupik [55]

Answer:

Air travels 6,920 meters in 20 seconds.

Step-by-step explanation:

If in one second air travels 346 meters, and you want to find out how many meters air travels in 20 seconds, then just multiply 346 by 20.

4 0
3 years ago
The common ratio of a geometric series is \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction and the sum of the first
myrzilka [38]

Answer:

The common ratio of a geometric series is \dfrac14

4

1 ​

start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

r =  \frac{1}{4}

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

s_n=\frac{a_1(1-r^n)}{1-r}

common ratio, n=4 and equate to 170.

\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170

\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170\\\\ \frac{255}{256} a_1 = \frac{3}{4}  \times 170\\\\\frac{255}{256} a_1 = \frac{255}{2}  \\\\\frac{1}{256} a_1 = \frac{1}{2}  \\\\ a_1 = \frac{1}{2}   \times 256\\\\a_1 = \frac{1}{2}   \times 256 \\\\= 128

8 0
3 years ago
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