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Sergio [31]
3 years ago
13

Write the prime factorization of 90. Use exponents where possible.

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Answer: 3^2×5×2

Step-by-step explanation:

90=30×3

=10×3×3

=5×2×3×3

=5×2×3^2

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Nazerhy deposits $8,000 in a certificate of deposit. the annual interest rate is 6%, and the interest will be compounded quarter
Bess [88]

The worth of the certificate in 10 years would be $14,512.15

Compound Interest and Its Formula

Compound interest is the type of interest based investment that causes initially modest sums of money to eventually increase to big sums. The formula for compound interest is given by,

A = P(1+\frac{r}{n})^{nt}

Here,

A is the final worth of the investment

P denotes the Principal amount of money that is invested  

r denotes the rate of the compound interest

t denotes the time period in years  

n denotes the number of times interest is compounded in one year

Given Information

P = $8,000

r = 6% = 0.06

n = 4 (∵ Compounded quarterly)

t = 10 years

Solving for A

Substituting the values of P, r, n, and t in the above mentioned formula of compound interest, we get,

A = 8,000(1+\frac{0.06}{4})^{4*10}

A = 8,000(\frac{4.06}{4})^{40}

A = 8,000* 1.8140184

A = 14,512.14726

Rounding the answer to two decimal places, we get,

A = 14,512.15

Therefore, Nazerhy would get $14,512.15 after 10 years.

Learn more about compound interest here:

brainly.com/question/26457073

#SPJ4

7 0
2 years ago
2.) What is the value of V78 to the nearest tenth?
DENIUS [597]

Answer:

80.

Step-by-step explanation:

When multiplying if the tenth place is " 7" then we look " next door" which is the ones and 8 is great then 5 so we count to from 8 to see when the next number ending in 0 would be in this case its 80. ( if the number is 4 or less count backwards to a number ending with 0  which in that case would have been 70 ) but the answer is 80.

4 0
3 years ago
When 31 times a number is increased by 40 the answer is the same as two 200 is decreased by the number
storchak [24]
x-\ number\\\\
31x+40=200-x\ \ \ | add\ x\\\\
32x+40=200\ \ \ | subtract\ 40\\\\
32x=160\ \ \ \ | divide\ by\ 32\\\\x=5\\\\Number\ is\ 5.
4 0
3 years ago
ASAP! 70 points! Yan has already finished 3/4 of the 45 math problems he was assigned today. Each math problem took him 1 and 4/
siniylev [52]
I would help but Can u add a pic or something for more understanding
7 0
2 years ago
3.) Find the domain and range for each of the following functions.
Delvig [45]
Domain is x’s and range is y’s.

For a, the domain is -2<=x<1
For a, the range is 1<=y<2

For b, the domain is 1<=x<=2
For b, the range is -2<=y<=2

(The <= is the ones with a line under, meaning equal to, if that makes sense. So write with a line under rather than equal sign)
Hope this helps!
6 0
3 years ago
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