Sarah deposits $500 into a bank account earning 2% interest per year. The amount
(A) of money in the account at any time (t), in years, is represented by the equation
A (t) = 500(1.02)
Which best describes the equation in words?

A. The amount of money present in the account at any time is a product of 500 and a
power of 1.02.
B. The amount of money present in the account at any time is a power of 500 and a
product of 1.02.
C. The amount of money present in the account at any time is a sum of 500 and
apower of 1.02
D. The amount of money present in the account at any time is a power of 500 and a
sum of 1.02

Answer: Answer is y= 3x+1

Step-by-step explanation:

Use point slope form y-y°=m(x-x°)

Find m, the slope: subtract the y values of the points, and divide that with the number you get when you subtract the x values of the points.

You should get m=3

Take either of the points, I’ll choose (0,1) because they are easy to use. Substitute 0 for x° and 1 for y°.

y-(1)=3(x-(0)) Substitute (0,1)

y-1=3x Simplify

y=3x+1 Add 1 to both sides and you’re done

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A[tex]\hat O[/tex]C = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

Answer:

x = 4

Step-by-step explanation:

y = - 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 6) with x- coordinate 4, thus

x = 4 ← equation of perpendicular line

Answer:

About $78

Step-by-step explanation:

The company is not complete. The question is to estimate the sales 8 weeks after release. To do that, we will substitute t = 8 into the modeled function s=10√5t+15

s = 10√5(8) + 15

s = 10√40 + 15

s =10(6.32)+15

s = 63.2+15

s = 78.2

Hence the sales after 8weeks is about $78.

Answer:

Add a picture of the graph please?

Step-by-step explanation:

Answer: The satellites speed was 190 kilometers per minute.

Step-by-step explanation:

The formula for speed is calculated as:

Speed = Distance/Time

where,

Distance = 380 kilometers

Time = 2 minutes

Speed = Distance/Time

Speed = 380km/2min

Speed = 190km/min

The satellites speed was 190 kilometers per minute.

Therefore, the correct answer is C.

Answer:

A

Step-by-step explanation:

Answer:

10:15

Step-by-step explanation:

Answer:

AE

Step-by-step explanation:

Because it intersects with EJ.

Whereas skew lines are those that do not inersect and not parallel with each other.

Hope it helps :)

Answer: AE

Step-by-step explanation:

Answer:

sure but can u help me ban 50070356 he or she is using my pfp as hers

Step-by-step explanation:

Answer:

(4,3)

Step-by-step explanation:

moving down 1 unit makes the point (-2,3)

moving 6 units to the right makes the point(4,3)

Answer:

Lin will run 1 mile in 8/55 of an hour

Noah will run 1 mile in 2/13 of an hour

Step-by-step explanation:

Here;

Lin ran 2 3/4 miles in 2/5 of an hour

he will run 1 mile in x hour

x * 2 3/4 = 2/5 * 1

2 3/4 = 11/4

x * 11/4 = 2/5

x = 2/5 * 4/11

x = 8/55 hour

For Noah

8 2/3 miles in 4/3 of an hour

1 miles in y hours

y * 8 2/3 = 4/3 * 1

y * 26/3 = 4/3

y = 4/3 * 3/26

y = 4/26 = 2/13

He will run 1 mile in 2/13 hours

Answer:

5.403

Step-by-step explanation:

Five is 5. Four hundred three thousandths is .403. the 3 is in the thousandths the 4 is in the tenths and the 0 is in the hundredths, and the 5 is a whole number.

Answer:

54 times larger than 2

Step-by-step explanation:

108 divided by 2 is 54

Answer:

9

Step-by-step explanation:

use the distance formula:

[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]

so, with your two points, x2=6, x1=-3, y2=7, and y1=7

so then just plug in the values

[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]

because you have 6 minus a negative number, it turns into 6+3, like shown

[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]

so then add and subtract the parenthesis

[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]

so then because 0 squared is just zero, you simply have the square root of 9 squared

[tex]\sqrt{9^{2} }[/tex]

so then square the 9

[tex]\sqrt{81}[/tex]

then take the square root of 81, and you get 9!

[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]

The distance between the points (-3, 7) and (6, 7) is 9.

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two points.

We have,

(-3, 7) = (a, b)

(6, 7) = (c , d)

Now,

Distance between these two points.

= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

= √(6 + 3)² + (7 - 7)²

= √9²

= 9

Thus,

The distance between the points is 9.

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ2

Answer:

89%

Step-by-step explanation:

Answer:

Grade drops 9 percentage points.

New overall grade is 89%

Step-by-step explanation:

The test with a score of 80% accounts for 50% of the grade.

The current average of 98% accounts for the other 50% of the grade.

50% of 80% + 50% of 98% =

= 40% + 49%

= 89%

The new overall grade is 89%.

Since the previous overall grade, before the test, was 98%,

and 98% - 89% = 9%, then

the new grade is 9 percentage points lower than the previous overall grade.

Answer:

3/5

Step-by-step explanation:

absolute value is always positive

Answer:B

Step-by-step explanation: edge 2020

Answer:

−2 is a member of the domain of f.

f(0) > 0

Step-by-step explanation:

Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.

Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.

Statement 3 is TRUE.

f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.

Therefore, f(0) > 0.

Statement 4 is INCORRECT.

f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.

Answer:

The altitude is 33 thousand feet at the given temperature

Step-by-step explanation:

We firstly would need to write out the rule.

We can do this by by doubling h, subtracting 15 and multiply the result by -1

Kindly note that h is in thousands of feet

That would be ;

T = (2 * h - 15) * -1

T = -1(2h - 15)

T = -2h + 15

T = 15 - 2h

So for the altitude in feet at a temperature of - 51 degrees Fahrenheit

We simply substitute the value of -51 for the temperature

So we have;

-51 = 15 - 2h

2h = 15 + 51

2h = 66

h = 66/2

h = 33 thousand feet

The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.

So you plug 5 and 5.5 into the equation y = -x + b.

5.5 = -5 + b

Add 5 to both sides.

10.5 = b

So, y = -x + 10.5

Answer:

Can you give me any more context?

Answer:

Step-by-step explanation:

last year won 57 games

this year won 15 games

the difference is 57 - 15 = 42,

this means it drops 42 / 57 = 0.73 (100%)  ≈ 73%

therefore,  the percentage decrease from the given choices is: J

42 =   x  

57     100

Answer:

Square root

Step-by-step explanation:

a number which produces a specified quantity when multiplied by itself

Answer:

09

Step-by-step explanation: