Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?

Answers

Answer 1

Answer:

A≈8173.18

Step-by-step explanation:


Related Questions

A farmer sells 6.8 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

weight of pears sold = 4.08 kg

Step-by-step explanation:

total weight of apples and pears = 6.8 kg

2/5 of this weight = apples

this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:

∴ weight of apples = 2/5 of total weight

weight of apples 2/5 × 6.8 = 2.72 kg

Therefore apples weigh a total of 2.72 kg

Therefore, since weight of apples + weight of pears = 6.8 kg

2.72 + weight of pears = 6.8

weight of pears = 6.8 - 2.72 = 4.08 kg

The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.6.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?

Answers

0.4*0.6 this gives

= 0.24

So the slope of this question is 1, does that mean I leave it as 1 or change it to 0?

Answers

Answer:

Keep it as 1.

Step-by-step explanation:

If it is 0 then there is no slope.

The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog is randomly chosen to lead the parade, what is the probability that a medium-sized dog will be chosen

Answers

Answer:

0.3

Step-by-step explanation:

Given:

Number of small dogs = 18

Number of medium-sized dogs = 12

Number of large dogs = 10

To find: probability that a medium-sized dog will be chosen

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Total number of dogs = 18 + 12 + 10 = 40

Number of medium-sized dogs = 12

So,

probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = [tex]\frac{12}{40}=0.3[/tex]

Answer:

0.3

Step-by-step explanation:

The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?


Answers

Answer:

The measures are 2.5 deg and 177.5 deg.

Step-by-step explanation:

The ratio of the measures of larger angle to the smaller angle is 71:1.

71k + k = 180

72k = 180

k = 180/72

k = 2.5

71k = 71 * 2.5 = 177.5

Answer: The measures are 2.5 deg and 177.5 deg.

The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.

Answers

The video is an hour and ten minutes long.

Answer:

an hour and ten minutes long.

Step-by-step explanation:

Given the following​ functions, find the indicated values.

Answers

Answer:  Please provide an image of what you are talking about so that we can help you more.

Which of the following equations will yield the surface area of cylinder?

Answers

Answer: [tex]A=2\pi rh+2\pi r^2[/tex]

The guy on the top is rite. ☻♥

please help i will mark brainly !

Answers

Answer:

1 hour and 20 minutes

Step-by-step explanation:

Answer:

Total time taken by Natalie to reach the airport is 1 hour and 20 minutes

This one and 1 more !!!

Answers

Answer: 30!

Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.

help me pls working on quizizz :(

Answers

here your answer mate

3.25

hope it helps ☺️✌️

Answer:

3.25

Step-by-step explanation:

16/13 = 4/r

16 × r = 13 × 4

16r = 52

r = 52/16 = 3.25

Urgent please solve quickly please!

Solve the system of linear equations by substitution

-x+y=7
6x-y=-7​

Answers

Answer: x = 0, y = 7

-x+y=7

add x to both sides

y=x+7

plug this in for y in the other equation

6x-(x+7)=-7​

simplify

6x-x-7=-7

simplify

5x-7=-7

add 7 to both sides

5x=0

divide both sides by 5

x=0

plug in to one of the equations to find y

-(0)+y=7

y=7

Therefore, x=0 and y=7.

Hope this helps!

Answer:

x = 0. y = 7. (0,7)

Step-by-step explanation:

-x+y=7

+x. +x

y = x +7

6x-y= -7

6x - (x + 7) = -7

6x - x - 7 = -7

5x -7 = -7

+ 7. +7

5x = 0

÷5. ÷5

x = 0

-x + y = 7

0 + y = 7

y = 7

Please help me it’s really important to me

Answers

1. b
2. e
3. a
4. c
5. d
6. f
7. g
8. h
hope this helps there is really no way of explaining you would have to study you theorems

I need help with this question

2(y – 3) = 1.2 – y
Solve and explain

Answers

2.5??????????????????

Answer:

y ≈ 2.4

Step-by-step explanation:

Two terms of an arithmetic sequence are $a_{12}=70$a12​=70​ and A sub 30 is equal to 124$a_{30}=124$a30​=124​ . Write an explicit rule for the n$n$n​ th term

Answers

Answer:

Tn = 34+3n

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is expressed as shown;

[tex]Tn = a+(n-1)d[/tex]

a is the first term of the sequence

n is the number of terms

d is the common difference

If T₁₂ = 70 and T₃₀ = 124

T₁₂  = a+(12-1)d = 70

T₁₂  = a+11d = 70... (1)

Similarly;

T₃₀ = a + (30-1)d = 124

T₃₀ = a +29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d.

Subtracting 2 from 1 we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d = 3 into equation 1 to get a we have;

a + 11(3) = 70

a + 33 = 70

a = 70-33

a = 37

The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d

Tn = 37+(n-1)*3

Tn = 37+3n-3

Tn = 34+3n

What is the slope of the line graphed in the picture

Answers

Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?

Answers

Answer:

 1,616.60

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Step-by-step explanation:

Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?

Answers

Answer:

Slope: 1/3

Y-Intercept: (0,7)

Equation: y = 1/3x + 7

Step-by-step explanation:

If you find a point on the line, you can find the slope by counting the distance from the y-intercept.

The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.

Answers

X(2+98) + y(7+93)= 500(5+95)

Not sure if it’s right or not!!!

Find all roots of y=x^3-64

Answers

Answer:

x = -4i and x = 4i, also x = 4

Step-by-step explanation:

Rewrite y = x^3-64 as y = x^3 - 64.  This can again be rewritten, this time as:

y = (x - 4)(x^2 + 16).

Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

x^2 + 16), which has two unequal, imaginary roots:  x = -4i and x = 4i.

Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1

Answers

Answer:

7

Step-by-step explanation:

used a calculator

Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.

Answers

Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.

Step-by-step explanation:

2 * 1.5 * 2=  6

Answer:

B

Step-by-step explanation:

its B

I need help please help

Answers

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14

Answers

Answer:

1. x=3, y=1

2. x=1, y= 1

3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)

4. x=1 , y=2

Step-by-step explanation:

This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.

PLEASE HELP !!! ASAP

Answers

11.88x=172.26
11.88x/11.88=172.26/11.88
X=14.5
To the nearest tenth
X=15
She has to work 15 hours to pay for the new scooter

What are the equivalent ratios of 5/8

Answers

Answer:

60/96

Step-by-step explanation:

Answer:

10:16 or 2.5:4

Step-by-step explanation:

sorry if i am wrong

Simply the expression. (7x^2y^3)^4

Answers

Answer:

2401x^8y^12

Step-by-step explanation:

You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.

What is the value of x in the equation 3-2x=-1.5x?
оооо
-6

Answers

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

[tex]\frac{1}{2}[/tex]x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!


Two less than four times a number is less than thirty. Which inequality can be used to find the solution?

Answers

Answer:

(4×n)-2<30

Step-by-step explanation:

4xn is 4 times a number

two less= -2

LESS THAN 30, is <

The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given statement is that two less than four times a number is less than thirty.

Let the unknown number be x.

Four times a number is 4x.

Two less than four times a number is 4x - 2.

Two less than four times a number is less than thirty is 4x - 2 < 30.

4x - 2 < 30

Adding both sides with 2,

4x < 32

Dividing both sides by 4,

x < 8

Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.

To learn more about Linear Inequalities, click on the link :

https://brainly.com/question/11897796

#SPJ2

Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.

Answers

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

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