108 = -2(-5 - 7b) What does b equal?

Mathematics

1 answer:

mario62 [17]3 years ago

6 0

Answer:

b = 7

Step-by-step explanation:

108 = -2(-5 - 7b)

Distribute -2 to the terms inside the parenthesis:

108 = 10 + 14b

Subtract 10 from both sides of the equation to isolate 14b:

108 - 10 = 10 + 14b - 10

98 = 14b

Divide 14 on both sides of the equation to solve for b:

$\frac{98}{14} = \frac{14b}{14}$

7 = b

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Look at the picture for the question please show work.

lukranit [14]

$A=\dfrac{1}{2}ah\\
a=25 \text{ mm}\\
h=14 \text{ mm}\\\\
A=\dfrac{1}{2}\cdot25\cdot14\\
A=175 \text{ mm}^2 \Rightarrow C$

6 0

4 years ago

Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments

Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

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

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

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

$A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\$

It will reach $450 after t years, for which A(t) = 450, hence:

$A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9$