A bank account earns interest at a rate of 3.5% per year (in other words it increases in value by that percent) and starts with a balance of $350. Which of the following equations would give the account’s worth, W, as a function of the number of years, y, it has been gaining interest?

Answers

Answer 1

Answer:

Annually cumulating interest can be determined by the following formula:

W=P(1+r)^y

r represents the interest rate as a decimal, and P represents the starting amount of money.

Step-by-step explanation:


Related Questions

In RST t=59 inches r=77 inches and s=5 find the area of RST to the nearest inches.​

Answers

Answer:

Area≈197.974≈198

Step-by-step explanation:

delta math

At Trudy's Pancake House there are 16 dirty coffee mugs and 48 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty?

Write your answer using a percent sign (%).

Answers

16+48 = 64 total mugs at the coffee shop
16/64 = 0.25

25% of the coffee mugs are dirty.

a pool designer constructs a frame for an in ground pool.The width of the border frame f,is 0.75 foot greater than the width of the pool,p. Wrists an equation that models the width of the border frame with respect to the width of the pool.

Answers

Answer:

(f + 0.75 ) - p = c

Step-by-step explanation:

Help pls and no links

Answers

m= 5/7
explanation: Slope is equal to the change in
y
y
over the change in
x
x
, or rise over run.
m
=
change in y
change in x
m
=
change in y
change in x
The change in
x
x
is equal to the difference in x-coordinates (also called run), and the change in
y
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2

y
1
x
2

x
1
m
=
y
2
-
y
1
x
2
-
x
1
Substitute in the values of
x
x
and
y
y
into the equation to find the slope.
m
=
3

(

2
)
9

(
2
)
m
=
3
-
(
-
2
)
9
-
(
2
)
Simplify.
m
=
5
9

(
2
)
m
=
5
9
-
(
2
)
Simplify the denominator.
Tap for more steps...
m
=
5
7

The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of 250 ft2 and a standard deviation of 2 ft2. To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2
Find the probability that the sample mean area is 249.6 ft2 or less if the manufacturer’s claim is true

Answers

Answer:

Given that the manufacturers claim is true, the probability that the sample mean area is 249.6 ft.² or less is 0.42074

Step-by-step explanation:

The manufacturer claims that mean amount of foil on each roll, μ = 250 ft²

The standard deviation of the measured amount of foil per roll, σ = 2 ft.²

The number of rolls tested by the restaurant, n = 10 rolls

The mean measured by the restaurant, [tex]\overline x[/tex] = 249.6

Taking the sample means as individual score, we have;

The z-score, of the sample mean is given as follows;

[tex]z=\dfrac{\overline x -\mu }{\sigma }[/tex]

At [tex]\overline x[/tex] = 249.6, we have;

z = (249.6 - 250)/2 = -0.2

Therefore, the probability for a mean less than or equal to 249.6, we have;

The probability, P = P(z < -0.2) = 0.42074

The probability that the sample mean area is 249.6 ft.² or less given that the manufacturers claim is true, P = 0.42074.

“In order to solve the question below, what would be a valid first step?”
A, b, c or d ?

Answers

Answer:

You answer would be option B

Step-by-step explanation:

You would have to open parenthesis/distribute 4 by multiplying it by x and 8 which are inside the parenthesis.

Guide Questions:
1. How do you saive for the area of the shaded region in figure A?
2. How do you solve for the area of the shaded region in figure B?
3. Is method finding the shaded region in figure A and B the same? Why? or Why not?


please answer on 3 i need answers for that number 3 questions​

Answers

Answer:

1. The area is found by using the formula for a rectangle

The area is 150 cm²

2. The area is found by the definite integral for the area between two points under a curve

3. The methods are different

The methods are different because the area of figure A is found by the multiplication between the dimensions, while the area of figure B is found by the difference between the values of the integral of the function between the points

Step-by-step explanation:

1. The area of the shaded figure A is found by multiplying the dimensions of the figure, which is the length multiplied by the breadth of the figure

From the question, we have;

The area of the rectangular figure, A = Length × Breadth

The length of the figure = 15 cm

The breadth of the rectangular figure = 10 cm

Therefore, we have;

A = 15 cm × 10 cm = 150 cm²

The area of the rectangular figure, A = 150 cm²

2. The bell shape of the figure B is obtained from a function f(x) as obtained from MIT mathematics website as follows;

[tex]f(x) = e^{-t^2}[/tex]

Therefore the area of the shaded region in the bell shaped figure between the points 0 and 1 on the x-axis is found by integration as follows;

[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt = \dfrac{1}{2} \cdot \sqrt{\pi} \times erf(t)[/tex]

Using a graphing calculator, we have;

[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt \approx 0.746824[/tex]

3. The method of finding the area of figure A is different from the method of finding the area of the figure B

The methods are different because the area of figure A is the area of the whole figure of a geometric shape with known formula for area while the area of of the shaded region has no predefined formula but is calculated using the calculus for the area under a curve.

The radius of a baseball is approximately 2.5 inches. What is its volume?

Answers

Answer:Below

Step-by-step explanation:

A baseball is round.

So, the diameter and the height are the same.

The radius is half of the diameter, so: 2.5 x 2 = 5

The height is also 5.

The Volume is 65.45

Answer:

Step-by-step explanation:

The Volume is 65.45

If you used about 25 ft to create the garden border, what is the approximate diameter of the garden to the nearest foot. Use π ≈ 3.14.

Answers

7.96 should be the answer.

18 to 12 in its simplest form​

Answers

Answer:

the answer is 3 to 2...........

What is the measure of Angle A?

A pentagon. Angle A is unknown, angle B is 70 degrees, angle C is 132 degrees, angle D is 132 degrees, angle E is 70 degrees.

Answers

Answer:

136

Step-by-step explanation:

The sum of interior angles of a polygon is (n-2)x180 where n is the no. of sides. Here n=5 Therefore sum of int. angles = (3-2)x180= 3x180=540.

Sum of all given angles =404.

Remaining angle= 540-404=136

Answer:

136

Step-by-step explanation:

i just took the test

Can someone please help!?!?

Answers

Answer:

B x=60, y=60

Step-by-step explanation:

The triangle should equal 180 in total. It shows 60 already on top then you would add them all up 60+60+60=180 degrees.

Answer:

B

Step-by-step explanation:

x=60 and y=60.

Find the length of the rectangle.

Answers

Answer:

10 in.

Step-by-step explanation:

7x2=14

The perimeter is 34 in.

34-14= 20 in.

20 in. = L2= 10(2)

10=L

i don’t understand help

Answers

Answer:

23

Step-by-step explanation:

89+150+67+(2y+8)=360

2y+8=54

2y=46

y=23

Justin wants to buy a new pair of jeans. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will Justin have to pay for the jeans?

Answers

Original price of jeans=$50

Since there is a discount of 30%

So we take 100%-30%=70%

hence to find the price Justin have to pay after discount, we take $50x70/100=$35

Therefore Justin has to pay $35 for the jeans after discount.

PLZ HELPLPLPLPLP!!!!

Answers

Answer:

c) 50

Step-by-step explanation:

√36 + 2 * 5^2  - 6

√36 = 6, 5^2 = 25

6 + 2 * 25 - 6 = 25 2 * 25 = 50, 6 + 50 - 6, 50

Find the surface area of the cylinder.

Answers

Answer:

1188 inches

Step-by-step explanation:

Answer:

The surface area of the cylinder with a radius of 7 and height of 20 would be 1186.92.

Step-by-step explanation:

The formula as given by the image is

h=20, r=7.

Substitute your radius and height as follows:

SA=[tex]SA=2*pi*r^2+2pi*r*h\\(2*3.14*7^2)+(2*3.14*7*20)[/tex]

And now solve!

307.72+879.2=1186.92

The answer would be 1186.92

Find the common difference, d, given that 8x-3, 4x+1, 2x-2 are consecutive terms of an
arithmetic sequence.
A)1/6
B) -10
C) 10
D) 5

Answers

Answer:

B

Step-by-step explanation:

We are given that:

[tex]8x-3, \, 4x+1, \text{ and } 2x-2[/tex]

Are consecutive terms of an arithmetic sequence.

And we want to determine the common difference d.

Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.

In other words, the second term is one d more than the first term. So:

[tex]4x+1=(8x-3)+d[/tex]

And the third term is two d more than the first term. So:

[tex]2x-2=(8x-3)+2d[/tex]

We can isolate the d in the first equation:

[tex]-4x+4=d[/tex]

As well as the second:

[tex]-6x+1=2d\Rightarrow \displaystyle -3x+\frac{1}{2}=d[/tex]

Then by substitution:

[tex]\displaystyle -4x+4=-3x+\frac{1}{2}[/tex]

Solve for x:

[tex]\displaystyle -x=\frac{-7}{2}\Rightarrow x=\frac{7}{2}[/tex]

The isolated first equation tells us that:

[tex]d=-4x+4[/tex]

Therefore:

[tex]\begin{aligned} \displaystyle d&=-4\left(\frac{7}{2}\right)+4\\&=-2(7)+4\\&=-14+4\\&=-10 \end{aligned}[/tex]

Our final answer is B.

Answer:

B.) - 10 is the answer.

Step-by-step explanation:

#CarryOnLearning

May you please help me it's very confusing for me. ​

Answers

Answer:

First row going down

29=5x-1

x=6

3x+7=28

x=7

58=5x+3

x=11

48=3x+3

x=15

Second row going down

3+4x=23

x=5

9+ x/3 =13

x=12

4x-13=27

x=10

7x+8=15

x=1

Third row going down (starting from top)

2x+1=7

x=3

3x-2=10

x=4

x/2 +5=6

x=2

10=8+x/4

x=8

2x/3=6

x=9

12+x/5=12

x=0

18=3x/4

x=24

I need help with my iCloud and I just started it

Answers

Answer:

m<U=60°

Step-by-step explanation:

[tex] \sin( sut) = \frac{st}{ut} \\ = \frac{7 \sqrt{114} }{14 \sqrt{38} } = \\ \frac{ \sqrt{3} }{2} \\ = > u = 60[/tex]

Which equation is NOT true based on the Pythagorean Theorem

Answers

Answer:

b = √(c² + a²)

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

3. Jim plotted the following ordered pairs on a coordinate grid.
(1,3) (3,6) (7,6) (9,3)
O
(4,5)
9
O
(8,6)
8
7
O
(5,7)
6
5
4
O
(3,1)
3
CLEAR ALL
2
1
0 1 2 3 4 5 6 7 8 9
Jim connected the points with line segments to form a polygon. Which point is
located inside the polygon?

Answers

Answer:3,1

Step-by-step explanation: you first make sure you put your ordered pairs in the coordinate grid then look for what’s inside the polygon look for your accurate awnser 3,1

Answer:

D is the answer

Which of the following statements about the similarity between rectangles and squares is not true?

Both rectangles and squares are quadrilaterals.

Both rectangles and squares have two sets of parallel sides.

Both rectangles and squares have four right angles.

Both rectangles and squares have four sides of equal length.

Answers

Answer:

Both rectangles and squares have four sides of equal length.

Step-by-step explanation:

Rectangle and square are the geometrical figures having four sides. They are the quadrilaterals with four sides. A rectangle is the quadrilateral in which opposite sides are equal. In a square all the sides are of equal length. The sides of both the rectangle and square are parallel. All angles form the right angles.

round 0.185309 to 2 SF​

Answers

Answer:

0.19

Step-by-step explanation:

Find first 2 whole numbers and round up

Answer:

Step-by-step explanation:

Rounding to the nearest hundredth; 0.19

Round to the nearest tenth; 0.2

Round to the nearest thousandth; 0.185

Round to the nearest whole number; 0

Hope this helped.

A block of wood measures 9.5 inches by 1.5 inches by 8 inches. What is the volume of the block of wood?

Answers

Answer:

114

Step-by-step explanation:

L=9.5 inches  W=1.5 inches H= 8 inches

V=LWH=9.5*1.5*8=114

The bakers at Healthy Bakery can make 180 bagels in 5 hours. How many bagels can they bake in 22 hours? What was that rate per hour?​

Answers

Answer:

34

Step-by-step explanation:

Answer:

Step-by-step explanation:                  180 bagels

The unit rate, in bagels per hour, is ---------------------- = 36 bagels/hour

                                                                 5 hours

In 22 hours, the bakery can bake (36 bagels/hour)(22 hours) = 792 bagels

³√73-(-3)², calculate the value​

Answers

The value of this equation is: 4
Answer: 4

A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the can contain.
A.12pt
B.3pt
C.1 1/2
D.1/3

Answers

Answer:

Step-by-step explanation:

C

1 pint = 16 ounces

Meri is making birdhouses. Each birdhouse uses 5/8 yard of wood. What is the total length of wood Meri will need to make 7 birdhouses?

Answers

Answer:

4.375 yards of wood

Step-by-step explanation:

You would do 5/8 time 7/1. Then you would do 5 times 7 and get 35. Then you'd do 8 times 1, which equals 8. 35/8 is equivalent to 4.375

10) If two angles in a triangle measure 53 degrees and 45 degrees, what is the value of the
third angle?
A. 8 degrees
B. 42 degrees
C. 82 degrees
D. 98 degrees
how would you solve this?

Answers

Answer:

d

Step-by-step explanation:

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