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3 years ago

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.

Mathematics

1 answer:

dangina [55]3 years ago

8 0

Answer:

x=-4 or x=3

Step-by-step explanation:

the property of zero in the function x2 + 12 = 7x is written all you need to do is to equate the zero product property

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Paul deposited $95,000 in a savings account that pays 4% interest compounded daily. What is his balance at the end of six months

Arada [10]

Answer:

$\$96,919.02$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=6/12=0.5\ years\\ P=\$95,000\\ r=4\%=4/100=0.04\\n=365$

substitute in the formula above

$A=95,000(1+\frac{0.04}{365})^{365*0.5}$

$A=95,000(1+\frac{0.04}{365})^{182.5}=\$96,919.02$

5 0

4 years ago

Sec theta - Csc theta / (csc theta)(sec theta)

Sophie [7]

Answer:

sin(x)-cos(x)

Step-by-step explanation:

$\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)} }{\frac{1}{sin(x)} * \frac{1}{cos(x)} }$

Simplify the denominator:

$\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)} }{\frac{1}{cos(x)sin(x)} }$

Simplify the numerator:

$\frac{{\frac{2(sin(x)-cos(x))}{sin(2x)} } }{\frac{1}{sin(x)} * \frac{1}{cos(x)} }$

Divide the fractions: <u>(a/b)/(c/d) = (a * d)/(b * c)</u>:

$\frac{(-cos(x)+sin(x))*2cos(x)sin(x)}{sin(2x)}$

Use the identity: <u>2cos(x)sin(x) = sin(2x):</u>

$\frac{sin(2x)(-cos(x)+sin(x))}{sin(2x)}$

Cancel out the common factor (sin(2x)):

-cos(x) + sin(x)

Simplify:

sin(x) - cos(x)

3 0

3 years ago

Read 2 more answers

Systems of equations substitution y=8 y=x+1

klemol [59]

(8) = x +1

same thing as 8 = 1x

divide both sides by 1 and x = 8 Y= 8

6 0

3 years ago

Which of the following statements best describes the graph of 4x-y=1

____ [38]

4x - y = 1
4x - 1 = y...y = 4x - 1

u have a slope of 4....a y int of ( 0,-1)....an x int of (1/4,0)

3 0

3 years ago

1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.

AURORKA [14]

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

3 0

3 years ago