Betty saves $161 a month. She saves $141 less each month than Jack. How much will Jack save in 2 years?

Mathematics

2 answers:

Akimi4 [234]2 years ago

6 0

Answer:

7248

Step-by-step explanation:

do 161 plus 141 and than times your answer by 24 cause 24 months is 2 years glad i could help you

geniusboy [140]2 years ago

4 0

Answer:

$ 7248

Step-by-step explanation:

$161 + $141= $302

so jack saves $302 in a month

$302 × 24 months =$7248

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Please show ALL work!<br><br> Solve for x: log₂x+log₂(x-6)=4

Vlad [161]

Answer: x = 8

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I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)

log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2

Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.

Only x = 8 is a proper solution.

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You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)

So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed

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3 years ago

A storage container is in the shape of a rectangular prism. The container has a length of 10 feet, a width of 8 feet, and a heig

SVETLANKA909090 [29]

Answer:

592

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(8*10+12*10+12*8)=592

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu

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Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

$x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
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x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
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The digits X and Y are 3 and 9, so the original number is 39.

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miskamm [114]

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