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3 years ago

Which of the following is the solution to the equation 25^(z − 4) = 125?

Mathematics

1 answer:

Drupady [299]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the equation 25^(z − 4) = 125, this can also be written as;

$5^{2(z-4)} = 5^3\\2(z-4) = 3\\2z - 8 = 3\\2z = 3+8\\2z = 11\\z = 11/2\\z = 5.5$

Hence the value of z is 5.5

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An ice cream cone has a diameter of 12.8 cm and a slant height of 9 cm. Find the lateral surface area of the cone. Use 3.14 for

Makovka662 [10]

Answer:

about 181 or 180.96

Step-by-step explanation:

π·6.4·6.332+6.42≈180.9555

7 0

2 years ago

Find f(2) if f(x) = 2x + 1.<br> A) 3 <br> B) 5 <br> C) 7 <br> D) 9

Rufina [12.5K]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Write the equation

f(x) = 2x + 1

find f(2)

2.- Substitute x for 2

f(2) = 2(2) + 1

3.- Simplify

f(2) = 4 + 1

f(2) = 5

5 0

3 years ago

Read 2 more answers

Solve and find X. <br> Question says 5-x / 2 = 2x-7

poizon [28]

Answer:

x = 3.8

Step-by-step explanation:

The equation is (5 - x) / 2 = 2x - 7

Multiply both sides by 2:

5 - x = 4x - 14

Add 14 to both sides:

19 - x = 4x

Add x to both sides:

19 = 5x

Divide both sides by 5 to isolate x:

3.8 = x

Therefore, x = 3.8.

7 0

3 years ago

Read 2 more answers

Find the value of c that completes the square for x2+12x+c .

maw [93]

The answer is =x2+c+12x

4 0

3 years ago

Joe Levi bought a home in Arlington, Texas, for $147,000. He put down 25% and obtained a mortgage for 30 years at 6.00%. what is

aksik [14]

Answer:

<em>Joe's monthly payment is $661 and his total interest cost is $127710.</em>

Step-by-step explanation:

Joe Levi bought a home for $147,000 and put down 25% and obtained a mortgage for 30 years at 6.00%

So, the amount of down payment $=(\$147000\times 0.25)=\$36750$ ]

and the amount of mortgage will be: $(\$147000-\$36750)=\$110250$

<u>Formula for monthly payment:</u> $M= P[\frac{r}{1-(1+r)^-^n}]$ , where $M=$ Monthly payment, $P=$ Principal loan amount, $r=$ rate of interest per month and $n=$ total number of months.

Here, $P= \$110250$ , $r= \frac{6}{12}\%=0.5\%= 0.005$ and $n= (30\times 12)= 360$ months.

Plugging these values into the above formula, we will get.........

$M= 110250[\frac{0.005}{1-(1+0.005)^-^3^6^0}] \\ \\ M=110250[0.0059955...]\\ \\M=661.00445.... \approx 661$

So, Joe's monthly payment is approximately $661.

Total amount paid in 30 years $=(\$661\times 360)= \$237960$

So, Joe's total interest cost will be: $(\$237960-\$110250)=\$127710$

7 0

3 years ago