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dedylja [7]
2 years ago
10

Write each of the following expressions as a^n or a^n b^m,

Mathematics
1 answer:
anygoal [31]2 years ago
3 0

Step-by-step explanation:

2 {}^{2}  \times 2 {}^{3}  \times 2 {}^{1}  \times 3 {}^{ - 1}  {}^{   (- 2)}

2 {}^{6} 3 {}^{2}

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Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t
vesna_86 [32]

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0
3 years ago
The longest length of a sail on Jessica's sailboat is 12v40 feet long. Which number is equivalent to this length?
NISA [10]

Answer:48V/10

Step-by-step explanation:

I got it right from Khan Academy

3 0
2 years ago
A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as sho
antoniya [11.8K]

Answer:

2884.8 millimeters squared

Step-by-step explanation:

Given:

The radius of the disc is 35 millimeters, so the area of it is:

πr^{2} = 3.14*35^{2} = 3846.5

Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

πr^{2} = 3.14*17.5^{2} =961.6

=>  the area of the pendant = 3846.5  - 961.6  =2884.8 millimeters squared

6 0
3 years ago
D is the midpoint of RJ⎯⎯⎯⎯. R has coordinates (−4,7), and D has coordinates (2,−1). Identify the coordinates of J.
Aleksandr [31]

Answer:

(8,-9)

Step-by-step explanation:

If the x-coordinate of R is 6 units away from D's x-coordinate, then so will J's x-coordinate. If the y-coordinate of R is 8 units away from D's y-coordinate, then so will J's y-coordinate.

Side note/Extra information:

The line would be y=\frac{-4}{3} x+\frac{5}{3}

3 0
3 years ago
Help? Would be appreciated!!
MaRussiya [10]

Answer:

a. 5 ones

b.8 hundreds

c.9 thousandths

d.1 tenths

e. 7 hundreths

f. 1 millions

hope that helps you

7 0
2 years ago
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