What is 12 more than 8.2 times a number n

The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse ang

Alexeev081 [22]

I'm not sure what level of math you are at, so I hope it's alright that I used the trig function of tangent. Basically, you just have to find the second base to be able to find the area using the formula for the area of a trapezoid (A = ½h(b₁ + b₂)). To do this, use the information given and a little creativity to create a triangle and find the missing pieces. Finally, plug everything into the equation and voilà. Hope that helps!

5 0

3 years ago

Can you help me ? I think I figured it out but am not sure . Thank you !

Nataly [62]

Thank you for posting the figure. Without it, I would have thought the parabola has a vertical axis.

For a parabola with a horizontal axis (as in this case), the equation of the parabola is

f(y)=a(y-k)^2+h

where (h,k) is the vertex.

Substituting (h,k)=(2,-4),

f(y)=a(y+4)^2+2...................(1)

as the equation of the parabola, with the value of "a" yet unknown.

Since we are given that the parabola passes through the point (-3,-3), we can substitute the corresponding x,y values in (1) to solve for a.

f(y)=-3=a(-3+4)^2+2

solve for a

a=(-3-2)/(1^2)=-5

So the equation of the parabola is f(y)=-5(y+4)^2+2

5 0

3 years ago

Joshua is trying to decide if there is a relationship between a driver's age and the number of traffic tickets they get he surve

Rashid [163]

Hello!

The number of tickets is dependent on age, so age is the independent variable.

Think of it as a y = mx equation. In this equation, x is the input, and y changes depending on the value of x inputted.

In this situation, y is the number of tickets, as y changes depending on the age x inputted. x is age, the independent variable.

4 0

3 years ago

Tom is putting money into a savings account. He starts with $650 in the savings account, and each week he adds $60 . Let S repre

mario62 [17]

S = 60W + 650 <== ur equation

after 18 weeks...so sub in 18 for W

S = 60(18) + 650
S = 1080 + 650
S = 1730 <==

7 0

4 years ago

Read 2 more answers

Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep

erastovalidia [21]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

5 0

3 years ago