Lincoln is saving $360 to buy a new bike. he already has $85 and can earn $12 per hour at work. which of the following equation describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?

Please help

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:

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:

[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:

56 large envelopes

Step-by-step explanation:

160/20 = 8 packages

8 x 7 = 56 large ones

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:

$ 20,043.46

Step-by-step explanation:

Answer:

A = $ 20,043.46

A = P + I where

P (principal) = $ 8,300.00

I (interest) = $ 11,743.46

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 6.5%/100

r = 0.065 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 8,300.00(1 + 0.065/1)(1)(14)

A = $ 20,043.46

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 8,300.00 at a rate of 6.5% per year

compounded 1 times per year

over 14 years is $ 20,043.46.

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:

5/8

Step-by-step explanation:

hope this helps you!!!!

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:

540 lei

Step-by-step explanation:

Pasul 1

Suma cheltuită pe cămașă se calculează astfel:

1200 lei × 15%

= 1200 lei × 15/100

= 180

Pasul 2

Suma cheltuită pentru o pereche de pantofi se calculează astfel:

1200 lei × 40%

= 1200 lei × 40/100

= 480 lei

Pasul 3

Suma rămasă este calculată ca:

Suma totală - (Suma cheltuită pe cămașă + Suma cheltuită pe încălțăminte)

1200 lei - (180 + 480) lei

1200 lei - 660 lei

= 540 lei

Answer:

(4) * (63)

252

(*￣3￣)╭

  Answer:

C

Step-by-step explanation:

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:

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:

Always

Step-by-step explanation:

Anything to the power 0 is 1

Answer:

7x-5

Step-by-step explanation:

Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81

Answer: less

Step-by-step explanation: 7^2 is 49 and 3^4 is 81....

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:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

Answer:

To Find the slope of a data table, you first need to plot two points on the line. It is easiest if the points are on a coordinate with whole numbers (i.e. (3,6 and (4,8)). Once you have plotted two pints, you then need to take the value of the point with the largest x value, and subtract the other points from it (i.e. (4,8)-(3,6)=(1,2). Then, take the new y value, and divide it by the new y-value (i.e. (2/1), and you have your slope.

Step-by-step explanation:

plot points (3,6), (4,8)

subtract points (4,8)-(3,6)=(1,2)

divide new points 2/1

m=2/1, or 2

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:

C, D and E are the correct statement

Given:

Remaining milkshake = 45 ml

She used 1 part strawberry cream to 4 parts milk.

To find:

The remaining amount of milk.

Solution:

It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.

Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,

[tex]x+4x=45[/tex]

[tex]5x=45[/tex]

[tex]x=\dfrac{45}{5}[/tex]

[tex]x=9[/tex]

Now, the remaining amount of milk is:

[tex]4x=4(9)[/tex]

[tex]4x=36[/tex]

Therefore, the remaining amount of milk is 36 ml.

Answer:

The answer is $12.60

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:

f

Step-by-step explanation:

Answer:

59180

Step-by-step explanation:

Reduce 118/360 to lowest terms

The simplest form of 118360 is 59180.

I hope this helps   :)