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4 years ago

Could someone take a look at this Math problem; I am not good at showing my work, Thank you.

Mathematics

1 answer:

Sindrei [870]4 years ago

4 0

Function B has a rate of change ( or slope) of 11-5 / 3-1 = 6/2 = 3

Function L y = 6x + 4 has a rate of change of 6 . Higher than function B.

To find y intercept of function B;

y = 3x + b where b = y intercept, when x = -3 y = -7 so
-7 = 3(-3) + b giving b = 2

y intercept of Function B is 2 and of function L it is 4

L has greatest y intercept

You might be interested in

Find the area of the figure and type your result in the empty box.

Airida [17]

Answer:

14 m²

Step-by-step explanation:

the height of the triangle is 3 m and the base is 4 m. 3 times 4 is 12 but then you have to half that so the area of the triangle is 6 m. The area of the rectangle is 2 times 4 which is 8. 8 plus 6 is 14. So 14 is your answer.

6 0

3 years ago

What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 incl

Serga [27]

Answer:

10000 options

Step-by-step explanation:

There are 10 options of digit from 0 to 9. It means there are 10 options for the first slot, 10 for the 2nd slot, 10 for the 3rd slot, and 10 for the last slot of each of the 4 slots of the password. For all 4 passwords the total amount of choices would be

$10 * 10 * 10 * 10 = 10^4 = 10000 options ranging from 0000 to 9999$

7 0

3 years ago

HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortga

bonufazy [111]

Answer:

$191,340.80

Step-by-step explanation:

Step 1

We find the amount that is paid monthly by the Lee's

We are told in the question that:

Cost of the house =$360,000

Down payment = $50,000

We are also told, the balance left after the down payment was made = Mortgage that is amortized at an

Interest rate of 5.25%

Time = 20 years

Hence, Mortgage amount = $360,000 - $50,000 = $310,000

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = the total monthly mortgage payment.

P = the principal loan amount.

r = your monthly interest rate.

= rate/12

=5.25%/12 = 0.0525/12

= 0.004375

n = number of payments

= number of years × number of months

= 20 × 12 = 240 payments

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]

M = $2,088.92

Therefore, the monthly payment by the Lee's is $2,088.92

Step 2

We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years

Total Amount paid = Monthly payments × Number of payments

= $2,088.92 × 240

= $501,340.80

Step 3

The third and final step is to calculate the Total interest paid for 20 years

Total Interest = Total amount paid - Mortgage amount

= $501,340.80 - $310,000

Total Interest: $191,340.80

Therefore,the interest will they have paid in total is $191,340.80

6 0

3 years ago

I don’t understand how this question

Vladimir79 [104]

Answer:

x = √51

Step-by-step explanation:

The given figure is a right triangle.

Using the Pythagorean Theorem to find x

(Altitude 1)² + (Altitude 2)² = (Hypotenuse)²
(7)² + x² = (10)²
49 + x² = 100
x² = 51
x = √51

4 0

2 years ago

The triangles below are similar. Find x showing the proportion and all work.

zavuch27 [327]

we are given that

two triangles are similar

so, the ratio of their sides must be same

we get

$\frac{2}{6} =\frac{x}{x+2}$

now, we can solve for x

step-1: Cross multiply both sides

$2(x+2) =6x$

step-2: Simplify left side

$2x +4 =6x$

step-3: Subtract both sides by 2x

$2x +4-2x =6x-2x$

$4 =4x$

step-4: Divide both sides by 4

$x=1$

so,

$x=1$ ............Answer

7 0

4 years ago