Is the ordered pair given a solution to the equation.

Mathematics

1 answer:

ziro4ka [17]2 years ago

8 0

Answer:

4. Yes

5. Yes

6. No

Step-by-step explanation:

You might be interested in

In a geometric sequence, the ____ between consecutive terms is constant.

dexar [7]

The Answer would be: Ratio

5 0

3 years ago

Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are

kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

8 0

2 years ago

This rational expression is nonequivalent. 5x / 25x^4 ; x^3 / 5x^15<br> True or false?????

FromTheMoon [43]

It is nonequivalent. Figure it out this way. Think about what number has to be multiplied by both the numerator and the denominator of $\frac{5x}{25x^4}$ to get to $\frac{x^3}{5x^15}$ . It has to be the samee number for the one expression to be equivalent to the other. To get from 5x to x^3, we have to multiply by 1/5x^2. When we do that we get x^3. Good. Now we have to multiply the denominator by the same thing, 1/5x^2. $25x^4(\frac{1}{5}x^2)=5x^6$ . As you can see, they are not equivalent.