Jimmy takes gets a student loan to go to college after high school. If he pays $9,000 in interest at a rate of 3% for 4 years, what is the principal amount borrowed?

Answer:

I'd say the first one, it is most common for states to have four or fewer roller skating rinks.

Have a lovely day/night! <3

Answer:

[tex] m\widehat {WV} = 50\degree[/tex]

Step-by-step explanation:

Let O be the center of the circle.

[tex] m\angle VOU =m\angle TOU... (given) [/tex]

[tex] \therefore m\angle VOU =(5x + 10)\degree[/tex]

[tex] [\because m\angle TOU = (5x +10)\degree] [/tex]

[tex] m\widehat {TUV} = (5x +10)\degree + (5x +10)\degree [/tex]

[tex] m\widehat {TUV} = (10x +20)\degree [/tex]

[tex] m\widehat {SW} =m\widehat {TUV} [/tex]

[tex] (12x-2)\degree = (10x +20)\degree [/tex]

[tex] 12x-2 = 10x +20 [/tex]

[tex] 12x-10x = 2 +20 [/tex]

[tex] 2x = 22 [/tex]

[tex] x = \frac{22}{2}[/tex]

[tex] x = 11[/tex]

[tex] m\widehat {WV} = 180\degree - m\widehat {TUV}[/tex]

[tex] m\widehat {WV} = 180\degree - (10x +20)\degree[/tex]

[tex] m\widehat {WV} = 180\degree - (10\times 11+20)\degree[/tex]

[tex] m\widehat {WV} = 180\degree - 130\degree[/tex]

[tex] m\widehat {WV} = 50\degree[/tex]

Answer:

f(x) = (x + 5)²

Step-by-step explanation:

f(x) = x² + 10x + 25 = (x + 5)²

y = a (x - h)² + k         vertex: (h , k)

a = 1      h = -5      k = 0

Answer:

The fourth choice.

Step-by-step explanation:

An exponential function passes through (3, 5) and (4, 10).

And we want to determine which other point is also on the graph.

First, we can find the exponential function. A standard exponential function is in the form:

[tex]y=a(b)^x[/tex]

The point (3, 5) tells us that y = 5 when x = 3. Thus:

[tex]5=a(b)^3[/tex]

The point (4, 10) tells us that y = 10 when x = 4. Thus:

[tex]10=a(b)^4[/tex]

In the first equation, we can divide both sides by a:

[tex]\displaystyle \frac{5}{a}=b^3[/tex]

And we can rewrite the second equation:

[tex]\displaystyle 2(5)=a(b^4)\Rightarrow 2\Big(\frac{5}{a}\Big)=b^4[/tex]

Substitute:

[tex]2b^3=b^4[/tex]

Divide:

[tex]b=2[/tex]

Using the first equation again, substitute:

[tex]5=a(2)^3[/tex]

Simplify and solve:

[tex]5=a(8)\Rightarrow \displaystyle a=\frac{5}{8}[/tex]

So, our exponential function is:

[tex]\displaystyle y=\frac{5}{8}(2)^x[/tex]

Next, we can simply try each point and see which point is correct.

Testing the first point (remember that (2,0) means that y = 0 when x = 2):

[tex]\displaystyle 0\stackrel{?}{=}\frac{5}{8}(2)^0=\frac{5}{8}(1)=\frac{5}{8}\neq 0[/tex]

Testing the second point:

[tex]\displaystyle 1\stackrel{?}{=}\frac{5}{8}(2)^2=\frac{5}{8}(4)=\frac{5}{2}\neq 1[/tex]

The third point:

[tex]\displaystyle 15\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\neq 15[/tex]

And the fourth point:

[tex]\displaystyle 20\stackrel{?}{=}\frac{5}{8}(2)^5=\frac{5}{8}(32)=5(4)=20\stackrel{\checkmark}{=}20[/tex]

Therefore, D is the correct choice.

Answer:

(2,0)

Step-by-step explanation:

The answer is (2,0) because the number line passes through that point

Answer:

NO. Emma is not correct.

Step-by-step explanation:

✔️Initial value for Function A:

The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.

Initial value for Function A is therefore = 2

✔️Initial Value of Function B:

To find the initial value/y-intercept for Function B, do the following:

Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:

Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2

Slope (m) = ½

Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).

Thus:

2 = ½(2) + b

2 = 1 + b

2 - 1 = b

1 = b

b = 1

The initial value for Function B = 1

✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.

Answer:

7x-5

Step-by-step explanation:

Answer:

You forgot to fully write the question

Step-by-step explanation:

(灬 º‿º 灬) ♡

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{5x -2 }{2} = 9 \\[/tex]

Cross multiply,

5x - 2 = 9*2

5x - 2 = 18   {Add 2 to both sides}

    5x = 18 +2

   5x = 20        {Divide both sides by 5}

     x = 20/5

   x = 4

Answer:

If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.

Step-by-step explanation:

the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators.  simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.

  Answer:

C

Step-by-step explanation:

Answer:

112 visitors

Step-by-step explanation:

Given the prediction equation :

y = 7x + 42

x = temperature

y = number of visitors (customers)

Number of visitors when temperature is 10 degree

y = 7(10) + 42

y = 70 + 42

y = 112

Hence, the model predicts that 112 customers will visit when temperature is 10 degrees

Answer:

Step-by-step explanation:

First find the measure of angle Q

a) Use law of cosines to find x:

Use the law of sines to find the missing angles:

b) Bearing P from R:

c)  Bearing R from P:

Answer:

a) Use law of consines to find x:

x=(160 2+200 2-2160×200× cos 91 grades) =258 km.

b) Bearning P from R:

360 grades - ( 55 degrees + 38 degrees)

Answer:

5/8

Step-by-step explanation:

hope this helps you!!!!

Answer:

A.)

the correlation between the number of hours students spent studying and the score on the science test seems to be that the people who spent more time studying got a better score than the people who didn't/ did less.

B.)

y = a - b ^x

a = 57

b = 5

because every .5 hours adds 5 points to the score

y = 57 (5) ^x

and as a function

F(x)= 57(5)

C.)

slope: 10

y / x

5 / 0.5

= 10

y-intercept: 57

x is 0 and y is 57 that is the y-intercept

it has a positive slope.

Answer:

6)7x + 60

Step-by-step explanation:

6 x 7 = 42

Therefore 6(7x = 6 times 7x

Hope this helps

have a wonderful day

Answer: In explanation

Step-by-step explanation: 350-170=4x

Solve                                     180=4x

                                              45=x    45 minutes longer

4x+170=350 because you would want to subtract 170 from each side not add 170 to each side when simplifying

4x+170 because that is how much gas the tank can hold.  You need to have 4x in the equation and 350 and 4x wouldn't make sense so use 4x and 170.

45 minutes as stated above.

Answer:

6/3=2/1

Step-by-step explanation:

6/3 is the same as 2/1 because if we divide the common denominator, 3, on both sides, your answer will be 2/1.

Answer:

C, D and E are the correct statement

Answer:

56 large envelopes

Step-by-step explanation:

160/20 = 8 packages

8 x 7 = 56 large ones

Answer:

Always

Step-by-step explanation:

Anything to the power 0 is 1

Answer:

96

Step-by-step explanation:

yeee

Answer:

59180

Step-by-step explanation:

Reduce 118/360 to lowest terms

The simplest form of 118360 is 59180.

I hope this helps   :)

Answer:

f

Step-by-step explanation:

Answer:

2(3x+4)

Step-by-step explanation:

Multiply the 2 by the 3x to get 6x

Multiply the 2 by the 4 to get 8

Add 6x and 8

6x+8

Answer:

B. 2(3x+4) is correct

Step-by-step explanation:

2*3x= 6x and 2*4= 8 so you have all ur terms

Answer: Number 9: x = 20, Number 10: x = 65

Step-by-step explanation:

Number 9:

3x + 10 = 90 - x

3x + x = 90 - 10

4x = 80

80 / 4

x = 20

Number 10:

2x + 15 = 145

2x + 15 - 15 = 145 - 15

2x = 130

2x / 2 = 130 / 2

x = 65

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Answer:

The answer is $12.60