Solve 2x+7=-3 please

Answers

Answer 1

Answer: The answer is x=-5, to solve the equation you subtract 7 from both sides, then you divide both sides by 2.

Hoped this helped you!

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Find the value for x and y

Answers

Answer: x=70, y=30

Step-by-step explanation:

Allie deposited $300.00 into a new savings account that earns 13% interest compounded quarterly. How long will it take for the balance to grow to $995.00? Round your answer to the nearest month. years and months

Answers

Answer:

9 years 4 months

Step-by-step explanation:

To find out how long it will take for Allie's initial deposit of $300to grow to $995 in a savings account with a 13% annual interest rate compounded quarterly, we can use the compound interest formula:

$\boxed{\begin{array}{l}\underline{\textsf{Compound Interest Formula}}\n\nA=P\left(1+(r)/(n)\right)^(nt)\n\n\textsf{where:}\n\phantom{ww}\bullet\;\;\textsf{$A$ is the final amount.}\n\phantom{ww}\bullet\;\;\textsf{$P$ is the principal amount.}\n\phantom{ww}\bullet\;\;\textsf{$r$ is the interest rate (in decimal form).}\n\phantom{ww}\bullet\;\;\textsf{$n$ is the number of times interest is applied per year.}\n\phantom{ww}\bullet\;\;\textsf{$t$ is the time (in years).}\end{array}}$

In this case:

A = $995
P = $300
r = 13% = 0.13
n = 4 (quarterly)

Substitute the values into the formula and solve for t:

$995=300\left(1+(0.13)/(4)\right)^(4t)$

Simplify the expression inside the bracket:

$995=300\left(1.0325\right)^(4t)$

Divide both sides of the equation by 300:

$(995)/(300)=\left(1.0325\right)^(4t)$

Take natural logs (ln) of both sides of the equation:

$\ln\left((995)/(300)\right)=\ln\left(1.0325^(4t)\right)$

$\textsf{Apply the power law:} \quad \ln x^n=n \ln x$

$\ln\left((995)/(300)\right)=4t\ln\left(1.0325\right)$

Divide both sides of the equation by 4ln(1.0325) to isolate t:

$(\ln\left((995)/(300)\right))/(4\ln\left(1.0325\right))=t$

$t=(\ln\left((995)/(300)\right))/(4\ln\left(1.0325\right))$

Evaluate using a calculator:

$t=9.37184241...$

Therefore, it will take 9.37 years for the balance to grow to $995.00.

To determine the number of months, subtract 9 from the value of t and multiply by 12:

$\textsf{Months}=12(9.37184241...-9)=4.46210895...$

Therefore, it will take 9 years and 4 months (rounded to the nearest month) for the balance to grow to $995.00.

Additional comments

In the case of quarterly compounding, the interest is calculated and added to the account balance every three months (once every quarter). So, even though it will take 9 years and 4 months for the balance to reach $995.00, Allie's account will not show this exact amount at that specific time. It will show a balance of $979.61 at 9 years and 3 months, and a balance of $1,011.45 at 9 years and 6 months, so technically, the account balance will still show as $979.61 at 9 years and 4 months.

Answer:

9 years and 4 months

Step-by-step explanation:

In order to calculate the number of years and months it will take for Allie's savings account balance to grow to $995.00, we can use the following compound interest formula:

$\sf A = P\left(1 + (r)/(n)\right)^(nt)$

where:

A is the future value
P is the present value
r is the annual interest rate
n is the number of compounding periods per year
t is the number of years

We can use the following values for the variables in the formula:

P = $300.00

r = 13% = 0.13

n = 4 (compounding quarterly)

A = $995.00

Substituting value, we get

$\sf 995 = 30000\left(1 + (0.13)/(4)\right)^(4\cdot t)$

$\sf 995 = 300.00\left(1.0325\right)^(4\cdot t)$

$\sf (995)/(300)=\left(1.0325\right)^(4\cdot t)$

$\sf 3.316 = \left(1.0325\right)^(4\cdot t)$

In order to solve the exponential equation, we can take the natural log of both sides:

$\sf ln(3.316) = ln(1.0325) ^ {4t}$

Using the properties of logarithms, we can bring the exponent down in front of the log:

$\sf 4t * ln(1.0325) = ln(3.316)$

Dividing both sides by ln(1.0325), we get:

$\sf t =( ln(3.316) )/(4ln(1.0325))$

Evaluating this expression, we get:

$\sf t = 9.3702710709672$

In the nearest hundred:

$\sf t \approx 9.37$

Therefore, year = 9 year

month = 37% of 12 = 4.44≈ 4 month

So, it will take Allie 9 years and 4 months for her savings account balance to grow to $995.00.

Which is the point where sides meet in a polygon

Answers

The point where sides meet in a polygon is called the vertex.

It is called a vertex, or a corner.

The function f(x) = –(x – 20)(x – 100) represents a company’s monthly profit as a function of x, the number of purchase orders received. Which number of purchase orders will generate the greatest profit?20
60
80
100

Answers

Let us solve the following problem by substituting each value with x.

FIRST CHOICE
f(x) = -(20-20)(20-100)
= -(0)(-80)
= 0

SECOND CHOICE
f(x) = -(60-20)(60-100)
= -(40)(-40)
= -(-160)
= 160

THIRD CHOICE
f(x) = -(80-20)(80-100)
= -(60)(-20)
= -(-120)
= 120

LAST CHOICE
f(x) = -(100-20)(100-100)
= -(80)(0)
=0

The answers yielded 0, 160, 120, and 0, respectively.
Thus, the answer is 60.

Answer:

The answer is 60

Step-by-step explanation:

because when you plug in these numbers to the x, 60 is the greatest one.

the amount of a persons paycheck p varies directly with the numbers of hours worked t. for 16 hours of work, the paycheck is $124.00 write a equation for the relationship between hours of work and pay

Answers

Answer:

$p=7.75t$

Step-by-step explanation:

We have been given that the amount of a persons paycheck p varies directly with the numbers of hours worked t.

Since we know that the equation for direct variation is in form: $y=kx$ , where, k represents the constant of variation.

We are also told that for 16 hours of work, the paycheck is $124.00. We can represent our given information as:

$p=k*t$

Upon substituting p=124 and t=16 in directly proportional equation we will get,

$124=k*16$

Let us divide both sides of our equation by 16 to solve for k.

$(124)/(16)=(k*16)/(16)$

$7.75=k$

Upon substituting the value of constant of variation in our equation we will get,

$p=7.75t$

Therefore, the equation $p=7.75t$ represents the relationship between hours of work and pay.

Given:

Let t = number of hours worked
Let p = money in the paycheck

And the relationship between the two variables varies DIRECTLY, thus they are equated with one another.

Well anyway, you can write this simple equation for their relationship:

16t=124p

Then you derive if you want to get the number of hours or the amount paid:

1) 16t/16= 124p
t = 124p/16
t=7.75p

or

2) 124p=16t
124p/124= 16t/124
p = 0.129t

Chang 0.83 into a fraction

Answers

answer: 83/100

there you go!!!!

Hope it helps

Create a “fraction” with 0.83 in the numerator and 1.0 in the denominator:

0.83/1.0

Move the decimal point in 0.83 two places to the right to turn it into a whole number; move the decimal point in the denominator the same number of places. Do this one decimal place at a time:

0.83/1.0=8.3/10.0=83/100

At this point, you can drop the decimal points and trailing zeros in both the numerator and denominator.

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