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1 year ago

7. Find x if the perimeter of the equilateral triangle is 77. Equation: Solution: Round to the nearest hundredth. 6.5X minus 1

1 answer:

4 0

If the perimeter of equilateral triangle is 77 and the equation showing the perimeter is 6.5X-1 then the value of X is equal to 12.

Given that the perimeter of equilateral triangle is 77 and the expression showing the perimeter is 6.5X-1.

We are required to find the value of X which is used in the expression.

Expression is combination of numbers, fraction, coefficients, indeterminants, determinants, which are mostly not found in equal to form.

Perimeter which is given is 77 and 6.5X-1.

6.5X-1=77

6.5X=77+1

6.5X=78

X=78/6.5

X=12

Hence if the perimeter of equilateral triangle is 77 and the expression showing the perimeter is 6.5X-1 then the value of X is equal to 12.

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Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$

10 years, so $t = 10$

9% interest, so $r = 0.09$

There is $300.00 in the account, which means that $A = 300$

How much did Maureen earn doing odd jobs?

This is P.

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

$300 = P(1 + \frac{0.09}{4})^{4*10}$

$(1.0225)^{40}P = 300$

$P = \frac{300}{(1.0225)^{40}}$

$P = 123.19$

Maureen earned $123.19 doing odd jobs

5 0

3 years ago

Celia uses the steps below to solve the equation Negative StartFraction 3 over 8 EndFraction (negative 8 minus 16 d) + 2 d = 24.

Troyanec [42]

The error in the steps is that In step 1, she should have also distributed -3/8 over –16d, to get 3 + 6 d + 2 d = 24

<h3>Simplifying linear equations</h3>

Given the following equation as shown below

-3/8(-8-16d)+2d = 24

Step 1 Distribute -3/8 over the expression in parentheses

3 + 6d + 2d = 24

Simply the like terms

3 + 8d = 24

Subtract 3 from both sides of the equation.

8d = 24 - 3

8d = 21

d = 21/8

Hence the error in the steps is that In step 1, she should have also distributed -3/8 over –16d, to get 3 + 6 d + 2 d = 24

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3 0

1 year ago

What value of n makes the equation true?

In-s [12.5K]

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

4 0

2 years ago

A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The p

Ksju [112]

Complete question :

A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The population would grow by 30 percent per year

how many after one year

how many after two years

Answer:

39 deers

51 deers

Step-by-step explanation:

The question can be expressed using the compounding rate formula:

A = P(1+r)^t

A = final population ; P = initial population ; rate, r = 30% = 0.3 ; t = time

After 1 year, t = 1

A = 30(1 + 0.3)^1

A = 30(1.3)^1