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3 years ago

The sum of three consecutive odd integers is forty five written as an algebraic equation would be:

Mathematics

1 answer:

lord [1]3 years ago

4 0

False,

the equation should be

x+ (x+2) +(x+4) = 45

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The length of a rectangle is 3 more than the width. If the perimeter of the rectangle is 16 units, find the

pentagon [3]

L = 3x width
2L + 2W = 16 units
2(3W) + 2W = 16 units
8W = 16 units
Width = 2 units

7 0

3 years ago

What is the first quartile (Q1) of the data set?

KATRIN_1 [288]

Sequence = 40, 45, 48, 51, 59, 62, 69, 74

Median = 51+59 / 2 = 55
First quartile = 40, 45, 48, 51
So, it would be: 45 + 48 / 2 = 46.5

In short, Your Answer would be Option C

Hope this helps!

8 0

3 years ago

What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl

Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

$A(t) = A(0)(1+r)^t$

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that $r = 0.05$ , and thus:

$A(t) = A(0)(1+r)^t$

$A(t) = A(0)(1+0.05)^t$

$A(t) = A(0)(1.05)^t$

Time for the balance to triple?

This is t for which $A(t) = 3A(0)$ . So

$A(t) = A(0)(1.05)^t$

$3A(0) = A(0)(1.05)^t$

$(1.05)^t = 3$

$\log{(1.05)^t} = \log{3}$

$t\log{1.05} = \log{3}$

$t = \frac{\log{3}}{\log{1.05}}$

$t = 22.52$

It takes 22.52 years for the balance to triple in value.

3 0

3 years ago

Mrs. Clever rolls a number cube once.

Zinaida [17]

Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

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3 years ago

Emily has $110 in a savings account this year. She plans on depositing $10 into the savings account each following year. How muc

Masteriza [31]

Answer:

.........................

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3 years ago

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