The total of two investments are $5,000. The average annual interest rate for one investment is 10% and 14% for the other. The total annual interest is $620. How much is invested at each rate.

Answer:

2099

Step-by-step explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099

Answer:

u can make me branliyest then i will help u

Step-by-step explanation:

Answer:

Answer for the first part: x = 0 so f(x) = 4

Answer for the second part: f(-2) = 2

Step-by-step explanation:

In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.

Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.

Answer:

x is equal to seven.

Step-by-step explanation:

To solve this you can move like terms to each side, then divide both sides by the coefficient of x:

4 + 6x = -3 + 7x

6x -7x = -3 - 4

-x = -7

x = 7

Answer:

answer is third option KC,DA

That's the final Answer, and don't worry about the answer in point form. I worked it out correctly. All steps followed;

angles in a triangle add up to 180°

Answer:

It fairly simple the answer is B

Answer:

20,000

Step-by-step explanation:

if you multiply those numbers you get 22,295 which rounds to 20,000

Estimate:

26k

Out of the answer choices you commented on another answer, that's the one I chose.

Answer:

80

Step-by-step explanation:

PEMDAS- do exponents first here, simplifying that to 64+16, add those to get 80.

Answer:

Step-by-step explanation:

I just need some points

Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]

================================================

Work Shown:

[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]

Explanation:

First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.

Answer:

12.5 hours

Step-by-step explanation:

divide 375 by 30 and you get how many hours it would take

12.5

Answer:

Arlo's weight = 52.3 kg

Explanation:

Let Arlo be "x"

Then,

Arlo = x

Bert = x+20 (Because Bert is 20 heavier than Arlo)

Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)

Donnie = [tex]\frac{x+20}{2}[/tex] (Because Donnie is half of Bert's weight)

Average = 57

Step by step Calculations:

57 = [tex]\frac{(x) + (x+20) + (x+20-5) + (\frac{x+20}{2} )}{4}[/tex]  (The whole divided by 4 because the total people is 4)

57*4   =  x + x + 20 + x + 20 - 5 + [tex]\frac{x+20}{2}[/tex]

228 = 3x + 35 + [tex]\frac{x+20}{2}[/tex]

228 - 3x - 35 = [tex]\frac{x+20}{2}[/tex]

193 -3x = [tex]\frac{x+20}{2}[/tex]

2(193 - 3x) = x + 20

386 - 6x = x + 20

386 - 20 = x + 6x

366 = 7x

x = [tex]\frac{366}{7}[/tex]

x = 52.3 kg (corrected to 3 significant figures)

Therefore Arlo's weight is 52.3 kg

Answer:

1.

Step-by-step explanation:

90+8x+12x=180

20x=90

x=4.5

Answer:

125

Step-by-step explanation:

10*10=100+25=125

Answer:

60/12= 5

5 feet

Answer:

5 feet

Step-by-step explanation:

Divide the length value (inches) by 12.

Answer:

i think its c 6-6 so good luck

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

2.1w + 3.9

Step-by-step explanation:

Answer:

2 gallons

Step-by-step explanation:

25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.

Two gallons of pure alcohol should he add to make hand sanitizer that contains 50% alcohol.

Given that, 4 gallons of hand sanitizer that contains 25% alcohol.

25% of 4 gallons is 1 gallons. It means that out of 4 gallons, 1 gallon are pure alcohol and 3 gallons are non- alcohol.

Then,  that hand sanitizer that contains 50% alcohol.

Learn more about the percentage here:

https://brainly.com/question/19247356

Answer:

3672

Step-by-step explanation:

If  8 gallons of gas were used to drive 204 miles  multiply  18x204=3,672 miles

The car be driven 459 miles on 18 gallons of gas.

A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.

Given,

8 gallons of gas is used to drive 204 miles.

Also, the number of miles driven varies directly with the number of gallons of gas used.

Therefore, (number of miles)/18 = 204/8

                    number of miles = 18 × (204/8)

                                                = 18 × 25.5

                                                = 459 miles

Hence, the car be driven 459 miles on 18 gallons of gas.

To learn more about proportionality visit:

https://brainly.com/question/2548537

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Answer:

c = 64

Step-by-step explanation:

Answer:

use brainly

Step-by-step explanation:

Answer: A = w/p

Step-by-step explanation:

A = w/p