Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 3.5%. Non money is added or withdrawn from the account. How much will be in the account after 5 years? How much will be in the account after 20 years?

Answers

Answer 1

Answer:

5 years : 1781.52

20 years: 2984.68


Related Questions

John's age increased by 11 is 5 less than 5 times his age. How old is he?
If x represents John's age, which of the following equations could be used to solve this problem?
O x + 11 - 5 = 5x
O x + 11 = 5x -5
O x + 11 = 5 - 5x

Answers

The second one I believe is correct. It is saying if you add 11 to johns age it is equal to 5 times his age minus 5
The answer is the last one I believe

1 rod equals how many yards

Answers

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

multiply the length value by 5.5

Find the measure of the angle indicated

Answers

Answer:

50?

Step-by-step explanation:

im not sure please think about it, but I think it might be 50

Find the median value. 1428, 961, 1258, 1324, 1185

Answers

Answer: 1258

Step by Step: Median simply means the middle value

rearrange the numbers from least to greatest

961, 1185, 1258, 1324, 1428

in this set, you can see that 1258 is the middle number

just need help with C would appreciate it​

Answers

Answer:

85%

Step-by-step explanation:

The students who read less than six magazines would be placed in the intervals: 0-1, 2-3, and 4-5 on the graph. Adding up the total amount in those intervals gives us:

2 + 15 = 17

So, using the answer from b, we can say that 17/20 kids read magazines. Now, we need to convert it into a percent by multiplying by 100:

17/20 *100

17 * 5

85%

Evaluate f(3m-4) given

Answers

F x(3m-4)
3fm-4f
Answer= 3fm-4f

Why is having a variety of plants important in a ecosystem

Answers

Answer:

It is better to have a variety of plants because if the species of plants die out, the whole ecosystem becomes extinct.

Step-by-step explanation:

The are of the triangle below is 9/20 square centimeters. What’s is the length of the base? Express your answer as a fraction in simplest form.

Answers

Answer:

6/5

Step-by-step explanation:

For this you need to clear the formula for the area which is bxh/2=A, now you need to clear the base and the formula would be b=Ax2/h, and would be (9/20)x2/ 3/4 equal to 18/20 / 3/4 and gives the result of 72/60,now you need to simplify and the simplest form is 6/5

The base of the triangle with area of 9 / 20 centimetres squared and height of 3 / 4 centimetres is 6 / 5 centimetres.

Area of a triangle

area of a triangle = 1 / 2 bh

where

b = baseh = height

Therefore,

area = 9 / 20 cm²

height = h = 3 / 4 cm

b = ?

Hence.

area of the triangle = 1 / 2 bh

9 / 20 = 1 / 2 × 3 / 4 × b

9 / 20 = 3 / 8 b

cross multiply

9 × 8 = 20 × 3b

72 = 60b

b = 72 / 60

b = 12 / 10 = 6 / 5

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What is the slope of the following table?

x y
-2 3
0 2
2 1
4 0

Answers

Answer:

-1/2

Step-by-step explanation:

Answer is -0.5

Step by step exploration

y=mx+b
M is slope
If we take x=0 and y=2
Then, 2=b

If we take x=4 and y=0
Then, 4m+2=0
m= -0,5

how many ways can 12 swimmers make it in first, second and third place

Answers

Answer:1320

Step-by-step explanation:Only one person can win first, second and third place. The total number of placers is 12 times 11 times 10.

Answer:

Usig their skills by:

Step-by-step explanation:

Using their strengh, force, move your feet, and arms with strong force to push you ahead faster and faster, if u are really tired I would keep going,

What is the volume of the cone?

Answers

Answer:

24π cm³

Step-by-step explanation:

Given the following data;

Radius, r = 3 cm

Height = 8 cm

To find the volume of a cone;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the equation, we have;

[tex] Volume = \frac{1}{3} * \pi * 3^{2}*8 [/tex]

[tex] Volume = \frac{1}{3} * \pi *9 *8 [/tex]

[tex] Volume = \pi * 3 *8 [/tex]

Volume of cone = 24π cm³

comments favorite math problem​

Answers

You want math problems???

Answer:

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Step-by-step explanation:

ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!!  (◕ᴗ◕✿)

  ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!

      *:・゚✧*:・゚ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ  ʕ ゚ ● ゚ʔ✧✧・゚: *✧・゚:* *:・゚✧*:・゚

i will give Brainiest if you are right

Answers

Answer:

d) $7.82

Step-by-step explanation:

just multiply the 2 numbers

At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator

Answers

.460Answer:

Step-by-step explanation:

Find the range of the data.

4.8,5.5,4.2,8.9,3.4,7.5,1.6,3.8
The range is

Answers

7.3 is the range

Step-by-step explanation:

The range of a set of data is the difference between the largest and smallest values.

The value of the range of the data is,

⇒ 7.3

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The data set is,

⇒ 4.8, 5.5, 4.2, 8.9, 3.4, 7.5, 1.6, 3.8

Since, We know that;

Difference between the highest and smallest value of the data set is called range.

Hence, We get;

The value of the range of the data is,

⇒ 8.9 - 1.6

⇒ 7.3

Thus, The value of the range of the data is,

⇒ 7.3

Learn more about the subtraction visit:

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#SPJ3

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


M

Answers

Answer:

72 miles

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2. We already have b equal to 54 miles, and since c is the hypotenuse, it equals 90 miles. We can substitute the values into the formula to get:

a^2 + 54^2 = 90^2

a^2 + 2916 = 8100

a^2 = 5184

a = 72 miles

A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.

Answers

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?

Can someone please help me with these 2 questions, pleaseeeee explain them too. :) Im also giving brainliest and this is worth 15 points.

Answers

Answer:

For the first one, the carpenter problem, the answer is F 5/6 • 16/5
For the second one I’m pretty sure is G

2
Find the lateral area and surface area of the solid. Keep answer in exact form.
7 ft
7 ft
Lateral Area =
Surface Area =

Answers

Answer:

lateral area = 308 ft

surface area = 616 ft


Find the distance between the points (-15, 3) and (-9, 8).

Answers

I know the answer but I need you to answer my math questions first

Answer:

61 units

Step-by-step explanation:

Find the area of the composite figure. Round to the nearest tenth.

A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m

Answers

Answer:

Surface area of figure = 200.52 meter²

Step-by-step explanation:

Given:

Side of square cut = 12 meter

Diameter of semi circle = 12 meter

Find:

Surface area of figure

Computation:

Diameter of semi circle = 12 meter

Radius of semi circle = Diameter of semi circle / 2

Radius of semi circle = 12 / 2

Radius of semi circle = 6 meter

Surface area of figure = Surface area of square + Surface of cylinder

Surface area of figure = [Side x Side] + πr²/2

Surface area of figure = [12 x 12] + (3.14)(6)²/2

Surface area of figure = [144] + (3.14)(36)/2

Surface area of figure = 144 + 56.52

Surface area of figure = 200.52 meter²

A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole

Answers

Answer:

45/22

Step-by-step explanation:

A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2

Answers

Answer: A

Step-by-step explanation:

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

V = 502.4 cm³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

r = 4 cm

h = 10 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = (3.14)(4 cm)²(10 cm)Evaluate exponents:                                                                                         V = (3.14)(16 cm²)(10 cm)Multiply:                                                                                                             V = (50.24 cm²)(10 cm)Multiply:                                                                                                             V = 502.4 cm³

Gabriel servers 80 glasses for fruit juice for a party. He pours 2/3 cup of fruit juice into each glass. How many cups of fruit juice in fractions does Gabriel pour in all?

Answers

Answer:

53 1/3 cups

Step-by-step explanation:

if there are 80 glasses and each glass has 2/3 of juice in it, there will be 53 1/3 cups in total because 80 x 2/3 = 53 1/3

The University of Arizona is monitoring the spread of a bacteria by placing 100 spores of the bacteria at the start of the project. The number, P, of the bacteria is expected to grow according to the differential equation dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000, where P t is measured in days. When does the number of bacteria reach 1000?

Answers

Answer:

In 59 days, the number of bacteria reaches 1000.

Step-by-step explanation:

 Given the data in the question;

by placing 100 spores of the bacteria at the start of the project,

p(0) = 100

dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000

dp/dt = 0.05p( 1 - p/200 )

2000dp / p( 2000 - p ) = 0.05dt

[1 / p + 1 / 200-p ]dp = 0.05 dt

Now, we integrate

∫[1 / p + 1 / 200-p ]dp = ∫ 0.05 dt

ln p - ln [2000 - p ]  = 0.05 + c'

ln[ p / 2000 - p ] = 0.05 + c'

p / 2000 - p  = [tex]e^{0.05t + c'[/tex]

p / 2000 - p  = k[tex]e^{0.05t[/tex]

Now, since p(0) = 100, we substitute

100 / (2000 - 100)  = k[tex]e^{0.05(0)[/tex]

100 / 1900  = k × [tex]e^{0[/tex]

100 / 1900  = k × 1

k = 1 / 19

Therefore,

p / 2000 - p  = k[tex]e^{0.05t[/tex]

p / 2000 - p  = (1/19)[tex]e^{0.05t[/tex]

when p( t ) = 1000, then t will be;

1000 / (2000 - 1000)  = (1/19)[tex]e^{0.05t[/tex]

1000 / 1000  = (1/19)[tex]e^{0.05t[/tex]

1  = (1/19 ) × [tex]e^{0.05t[/tex]

1/(1/19 )  = [tex]e^{0.05t[/tex]

(1 × 19)/1 = [tex]e^{0.05t[/tex]

[tex]e^{0.05t[/tex] = 19

0.05t = ln( 19 )

0.05t = 2.9444

t = 2.9444 / 0.05

t = 58.888 ≈ 59 days

Therefore, In 59 days, the number of bacteria reaches 1000.

The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?

Answers

Answer:

A circle.

Step-by-step explanation:

Ok, any plane has a vector normal to it.

Then the plane that cuts the sphere, has a normal vector.

If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.

Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.

Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.

Then the shape that is a representation of the cross-section is a circle.

you need to put a, b, c, d in the right four spots

Answers

Answer:

A: Southeast

B: Northwest

C: Southwest

D: Northeast

Step-by-step explanation:

Answer:

B: Northwest

C: Southwest

   D: Northeast                     A: Southeast

The freight charge on a shipment of 1200 kg is $84.00.
Which is the rate per 100 kg?
A. $0.78
B. $4.00
C. $5.70
D. $7.00
d
E. $10.08

Answers

Answer:

d

Step-by-step explanation:

The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.

So, by the unitary method,

The freight charge on a shipment of 1200 kg = $84.00.

The freight charge on a shipment of 1 kg = 84/ 1200

The freight charge on a shipment of 100 kg = 84/ 1200

                                                                           = 84 x 100/ 1200

                                                                            = $7.00

Learn more about the unitary method;

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What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.

Answers

Answer:

I think it's A but I'm not sure

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