A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):



if the bank charges 5.3% interest each year?

Answer:

Yes, it is a function.

The domain is (∞,∞) and the range is (∞,5].

Step-by-step explanation:

A function needs to pass the vertical line test: It can only have one x value and one y value at a time. You simply hold a  ruler to your screen and drag it from left to right (or vice versa) and see if the function touches the ruler once. If it touches once at any given point, it's a function!

The domain is (∞,∞) because there is a line on both ends- meaning it stretches infinitely. The range is (∞,5] since it goes down infinitely and stops at y = 5.

Answer:

There are no real solutions to this equation.

Hope This Helps!

Answer:

y = 2x + 1

Step-by-step explanation:

Let the equation of the line be y = mx + c

since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)

sub (1, 3):

3 = 2(1) + c

c = 1

therefore, the equation is y = 2x + 1

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

0.75

Step-by-step explanation:

Answer: 11/16

Step-by-step explanation:

-3/8 = -6/16

5/16 - (-6/16) = 11/16

You need to add -3/8 with 11/16 to get 5/16

As i don't want this to be to long

We break it down so

$8000 x 4% = $320

$10000 x 6% = $600

$8000 + $10000 = $18000

$24550-$18000 = $6550 x 8% = $524

Final answer

$320+$600+$524 = $1,444

Answer:

3 4/5

Step-by-step explanation:

19/5 is improper because the numerator is larger to the denominator. If we round 19 down to 15 and divide 15 by 5 we get 3 but we still have 4 left because of how we rounded it. Let me explain this a little bit smaller.

19 fits into five three times, and that leaves 4 left over,  19/5 = 3 & 4/5

( i just added the & sign so it didn't look like 34/5 )

Answer:

20 miles

Step-by-step explanation:

Let

x = total number of miles she wish to run the end of this month

If Carrie is 55% of the way to achieving her goal and she has already run 11 miles

55% of her total miles = 11 miles

55% of x = 11 miles

55/100 * x = 11 miles

0.55x = 11

Divide both sides by 0.55

x = 11 / 0.55

= 20

x = 20 miles

x = total number of miles she wish to run the end of this month = 20 miles

She is trying to run 20 miles by the end of this month

Answer: A

Step-by-step explanation: so in goes up by 5 and out goes up by 1 which i think makes 5x and the first one is 0,9 so f(x)=5x+9

Answer:5oo

Step-by-step explanation:

Answer:

SI is used in most places around the world, so our use of it allows scientists from disparate regions to use a single standard in communicating scientific data without vocabulary confusion.

Answer:

Step-by-step explanation:

39

Answer:

39 is the answer you are looking for

Answer:

1/3

Step-by-step explanation:

Answer: d. 2 hrs

Step-by-step explanation:

Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)

Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)

Since  the plane flew at the same rate for the entire trip.

i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans

[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]

hence, the flying time for the shorter leg = 2 hours

So (d) is the correct option.

Answer:

uh i don't really get the question you asked, but if it's asking for the improper fraction of 3 1/4, it's 13/4.

Step-by-step explanation:

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[tex]g(x) = 4x + 8[/tex]

[tex]g(8) = 4(8) + 8[/tex]

[tex]g(8) = 32 + 8[/tex]

[tex]g(8) = 40[/tex]

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Answer:

the answer is 6

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The answer is number 3 :)

Answer:

3

Step-by-step explanation:

Answer:

Any number for x will work

Step-by-step explanation:

6x-3=3(2x-1)

expand

6x-3=6x-3

add three to both sides

6x=6x

simplify

x=x

Therefore any number for x will work

Answer:

x=x

Step-by-step explanation:

6x-3=3(2x-1)

Used Distributive property to 3(2x-1)

6x-3=6x-3

Add 3 to both sides:

6x=6x

Divide 6 from both sides:

x=x

try A

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]

Step-by-step explanation:

✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

Answer:

15cm

Step-by-step explanation:

Given parameters:

Area of the square = 225cm²

Unknown:

Base  = ?

Solution:

A square is a figure with equal sides.

Area of a square  = L²

L is the side length

    225cm²  = L²

       L = √225

       L = 15cm

The base of the square is 15cm

Step-by-step explanation:

answer .................

Answer:

38.5 grams of sugar for 5 cakes

Step-by-step explanation:

Set up a ratio of grams to cakes

84.7g:11

How much for 1 cake(unit rate because you want sugar over cakes)?

Just divide by 11.

7.7g:1

But you need 5 cakes so multiply by 5

38.5g:5

Answer:

Step-by-step explanation:

First divide 84.7 and 11 which is 7.7

So there is 7.7g of sugar in one cake.

Next multiply 7.7 by 5 which is 38.5

Therefore you need 38.5g of sugar for 5 cakes

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Answer:

a) Revenue function = 1.299r + 1.379p

where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline

b) cost function = 1.219f + 1.289p

c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p

d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]U(n + 1) = kU(n) + r[/tex]

_________________________________

[tex]n = 1[/tex]

[tex]U(1 + 1) = kU(1) + r[/tex]

[tex]U(2) = k \times U(1) + r[/tex]

[tex]188 = k \times (37) + r[/tex]

[tex]37k + r = 188 \: \: \: (( \alpha ))[/tex]_________________________________

[tex]n = 2[/tex]

[tex]U(2 + 1) = kU(2) + r[/tex]

[tex]U(3) = k \times U(2) + r[/tex]

[tex]943 = k \times (188) + r[/tex]

[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]

_________________________________

[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]

[tex]37k + r = 188 \: \: \: \: \: (( \alpha ))[/tex]

[tex](( \beta )) - (( \alpha )) = [/tex]

[tex]188k - 37k + r - r = 943 - 188 \\ [/tex]

[tex]151k = 755[/tex]

Divide sides by 151

[tex] \frac{151k}{151} = \frac{755}{151} \\ [/tex]

[tex]k = 5[/tex]

Put the value of k in one of the equations to find the r :

[tex]37k + r = 188[/tex]

[tex]37 \times (5) + r = 188[/tex]

[tex]185 + r = 188[/tex]

[tex]r + 185 = 188[/tex]

Subtract sides 185

[tex]r + 185 - 185 = 188 - 185[/tex]

[tex]r = 3[/tex]

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