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il63 [147K]
3 years ago
9

PLEASE HELP!!! Which number line shows the solution 2/3x-5>3

Mathematics
2 answers:
matrenka [14]3 years ago
4 0

Answer:

last option is the answer; all values greater than 12

Step-by-step explanation:

2/3x - 5 > 3

2/3x > 8

x > 24/2

x > 12

Maslowich3 years ago
4 0

last one

get paper and solve the question

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Kal decides to open a home-based cupcake business. His cost is an initial value of $10 in operating expenses plus $0.25 to make
pshichka [43]

Answer:

4

Step-by-step explanation:

4 0
2 years ago
On a map the distance from Fort Collins to Cheyenne is 3.2 inches. The angle formed at Laramie has measure 43.6º, and the angle
MArishka [77]
We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).

The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).

We can use the law of sines to solve this where:

sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
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We are told 1 in = 10.6 miles, therefore:

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7 0
3 years ago
(Please show step by step workings)
matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

   The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}

M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

5 0
3 years ago
Which statement best describes the pattern of association between the variables x and y shown in the scatter plot
Kryger [21]

Answer:

if i were to answer...i would go for B, but dont use my answer if u disapprove cuz I, myself, isnt sure

Step-by-step explanation:

8 0
3 years ago
What is the solution set of 4x = y and 2x^2− y = 0?
Alona [7]

Answer:{0,2}

Step-by-step explanation:

Substitute 4x in for the y

2x^2-4x=0

Factor out GCF 2x

2x(x-2)=0

Set each factor = 0 and solve

2x=0 x=0 x-2=0 x=2

8 0
3 years ago
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