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4 years ago

Explain how you could use the conversion table to convert 700 centimeters to meters.

Mathematics

1 answer:

Kay [80]4 years ago

8 0

Yes
hope this is understandably sure right easy for you

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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

What is the intermediate step in the form (x + a)2 = b as a result of completing the square for the following equation? 6x^2 - 7

tester [92]

Answer:

hi how are you also this is rlly easy

Step-by-step explanation:

5 0

3 years ago

What is the perimeter of the figure? 10 in 19 in 11 in 17 in

Helen [10]

Answer:

Step-by-step explanation:

10+19+11+17=?

29+11+17=?

40+17=?

6 0

3 years ago

Read 2 more answers

6. Josh had 5 times as much money as Karen. Both spent $20 each. Josh has 6 times as

vazorg [7]

Answer:

Josh had $500

Karen had $100

Step-by-step explanation:

J = 5K

J - 20 = 6(K - 20)

5K - 20 = 6K - 120

100 = K

J = 500

3 0

3 years ago

Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today

Hunter-Best [27]

Answer:

$Area = 27.5$

Step-by-step explanation:

Given

$J_{Area} = 440$

$J_{Width} = 22$

$K_{Width} = 5.5$

See attachment

Required

Determine the area of K

First, we need to calculate the length of the rectangle J

$J_{Length} * J_{Width} = J_{Area}$

This gives:

$J_{Length} * 22 = 440$

Divide both sides by 22

$\frac{J_{Length} * 22}{22} = \frac{440}{22}$

$J_{Length} = 20$

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

$J_{Length} : J_{Width} = K_{Length} : `K_{Width}$

Substitute the known values:

$20 : 22 = K_{Length} : `5.5$

Express as fraction:

$\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}$

Make Length, the subject of formula

$K_{Length} = \frac{5.5 * 20}{22}$

$K_{Length} = \frac{110}{22}$

$K_{Length} = 5$

The area of K is:

$Area = K_{Length} * K_{Width$

$Area = 5.5 * 5$

$Area = 27.5$

4 0

3 years ago