Matt invested $300 into an account that had an annual interest
rate of 3.8% compounded monthly for 5 years. Chris invested
$350 into an account that had an annual interest rate of 3.5%
compounded continuously for 5 years. Determine which models
could be used to determine how much money would be in each
account after 5 years.

Answer:

12.9

Step-by-step explanation:

Let's understand this,

Angle of elevation is 30° and the is standing perpendicularly, we have to find the distance from the branch to the mouse.

According to question,

cosine or cos thita = Base/Hypotenuse

Cos 30° = 15/H

0.86 = 15/H

H = 0.86 × 15

H = 12.9 (Round off 13)

Hope it helps!

Answer: dude take a deep breath and answer the question it’s very easy

Step-by-step explanation:

Answer:

87, if it were 45 degrees,  it would be 90, closest to 90 is 87

Answer:

87 feet

Step-by-step explanation:

We have an angle that's 44 degrees and we know that Susan is 90 feet from the base of the tree. We need to know the height of the tree, which is the value opposite from the angle we know.

Use tangent to find height.

tan (44) = x / 90   then multiply both sides by 90

x = tan (44) * 90   evaluate tan(44) and substitute into the equation

x = 86.911

round to nearest whole foot: 87 feet

Answer:

???????

Step-by-step explanation:

Answer:

L = 3x - 2

P = 6x - 10

Step-by-step explanation:

Area = length * width

A = l*w

so if the width is 6 inches we can say w = 6

and we can say that l = to the length of the rectangle

if we substitute this:

(18x - 12) = l * 6

we get the answer l = 3x - 2 since we divide both sides by 6.

the expression for length of the rectangle is -> l = 3x - 2

for the perimeter:

P = 2(l + w)

if we substitute this:

P = 2(3x - 2) + 6

distributive property:

P = 2(3x) - 2(2) + 6

then would be:

P = 6x - 4 + 6

(combine like terms) -> P = 6x - (4 + 6)

then you would get: P = 6x - 10

which can also be writtern as -> P = 6x + (-10)

but this is not simplified so you would just write it as 6x - 10

Hope this helps, and hope this was the answer you were looking for. Thank you. Sorry if this does not help

Answer:

a:3.5

b:0.2

c:.3

Step-by-step explanation:

Answer:

thanks for the free points! anways but i think it s c

Step-by-step explanation:

its c

Answer:

Both calculated the slope as 2/9

Step-by-step explanation:

Answer:

43/24

Step-by-step explanation:

The solving steps are as follows:

[tex] - \dfrac{3}{8} + \dfrac{13}{6} \\ = \dfrac{13}{6} - \dfrac{3}{8} \\ = \dfrac{13 \times 4 - 3 \times 3}{24} \\ = \dfrac{52-9}{24} \\ = \boxed{\frac{43}{24} }[/tex]

Answer:

43/24

Step-by-step explanation:

LCM of 6 and 8 = 24

[tex]\sf \dfrac{-3}{8}=\dfrac{-3*3}{8*3}=\dfrac{-9}{24}\\\\\\\dfrac{13}{6}=\dfrac{13*4}{6*4}=\dfrac{52}{24}\\\\\\\dfrac{-3}{8}+\dfrac{13}{6}=\dfrac{-9}{24}+\dfrac{52}{24}[/tex]

              [tex]\sf = \dfrac{-9+52}{24}\\\\= \dfrac{43}{24}\\\\[/tex]

Step-by-step explanation:

hope this helps you out some

Answer:

Number of nickels is 49 and the number of quarters is 32

Step-by-step explanation:

Answer:B

Step-by-step explanation:2/8*40=10

Answer: c

Step-by-step explanation: 1:4 is 4 times the flour to water and 2:8 is also 4 times the flour

Answer:

0.277 ft^2

Step-by-step explanation:

5/12 * 2/3 = 0.277

Answer:

5/18

Step-by-step explanation:

5/12 * 2/3 = 5/6 * 1/3 = 5/18

Answer:

The bakery earned $11760 by selling cakes

Step-by-step explanation:

Cost of 1 cake = $120

Bakery sold cakes = 98

We need to find how much money did the bakery earn selling cakes?

We are given cost of 1 cake, if we multiply cost of 1 cake by 98 we can get cost of 98 cakes. Solving:

Cost of 1 cake = 120

Cost of 98 cakes = 120 x 98

                            = 11760

So, The bakery earned $11760 by selling cakes

Answer: 16

Step-by-step explanation:

do the parentheses first.

8 / 2 x 4

then calculate.

4 x 4 = 16

Answer:

A - a = 4, b = -3, c = 3

Step-by-step explanation:

When you substitute in a, b, and c you get

(2x - 5) (x + 2) + (4x^2 + -3x + 3)

collect like terms

(2x)(x) + (2x)(2) + (−5)(x) + (−5)(2) + 4x^2 + −3x + 3

combine like terms

2x^2 + 4x + −5x + −10 + 4x^2 + −3x + 3

(2x^2 + 4x^2) + (4x + −5x + −3x) + (−10 + 3)

6x^2 + −4x + −7

6x^2 + −4x −7

Answer:

-(y+3)=(x-2)^3

Step-by-step explanation:

Transformed function B is f' ( x ) = - ( x - 2 )³ + 1

The transformed function is given by y = - ( x - 2 )³ + 1

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)

Right shift by c units:  y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be denoted as A

Now , the value of A is

y = x³

Let the transformed function be denoted as B

Now , the value of B is calculated by

Step 1 :

A reflection across the x-axis

So , the function changes to g ( x ) = -x³

Step 2 :

A translation 1 unit up

Up by d units: y = f(x) + d

So , the function changes to h ( x ) = -x³ + 1

Step 3 :

A translation of 2 units right

Right shift by c units:  y=f(x-c)

So , the function changes to f' ( x ) = - ( x - 2 )³ + 1

Therefore , the value of B is f' ( x ) = - ( x - 2 )³ + 1

Hence , the transformed function B is f' ( x ) = - ( x - 2 )³ + 1

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The unit rate is 22.5 cents per oz .

The unit rate of any quantity is calculated by dividing (total cost) with (total units purchased).

For Example : If 12 bananas cost $120 then 1 banana will cost 120/12=$10.

In the given question

16oz bottle costs $3.59.

As we have to find the unit rate in cents per oz , we first convert $3.59 to cents.

We know that

$1=100cents

$3.59=100*3.59

=359cents

So the price of 16 oz bottle = 359 cents

Unit rate = (total price ) / (units purchased)

Substituting the total price as 359 cents and units purchased as 16oz.

Unit rate = 359/16

=22.4375

≅22.5

Therefore , the unit rate is 22.5 cents per oz.

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Answer:

“the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

Step-by-step explanation:

Let us breakdown and translate the word expression into an algebraic expression.

The sum of 3c and 8 is algebraically represented as:

⇒ 3c + 8

Thus,  “the product of 6.2 and the sum of 3c and 8'' will be algebraically represented as:

⇒ (6.2) (3c + 8)

We know that the numbers that we multiply are the factors of the product.

Here, (6.2) and (3c+8) are the factors of the expression.

The 27th term is $173.

In an arithmetic progression the difference between the two consecutive terms is same.

Here it is given that the first term of the AP which is represented by a is $17.

And Max adds $6 after every week in his fund so the common difference d is $6.

We know the general expression to find the nth term of an AP is

= a+(n-1)d

Here we have to find the 27th term. so the value of n will be 27.

Now the 27th term of the AP = 17+(27-1)6

                                             = 17+156

                                             = $ 173

The balance in the fund after 27th week will be $173.

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Answer:

Step-by-step explanation:

d=80 ft

r=80/2=40 ft

volume of cylinder=π r²h,where h is height or depth of cylinder.

π×40²×h=825,000

πh=825,000/40²=4125/8

h=4125/(8π)≈164.1285≈164.13 ft

The depth of water in the reservoir is approximately 21.92 feet.

To find the depth of water in the reservoir, we can use the formula for the volume of a cylinder:

Volume = π * r^2 * h

Where:

Volume is the total volume of water in the reservoir (in gallons),

π (pi) is a mathematical constant approximately equal to 3.14159,

r is the radius of the reservoir (half of the diameter), and

h is the depth of water in the reservoir (in feet).

Given:

Diameter = 80 feet

Volume = 825,000 gallons

We first need to calculate the radius (r) of the reservoir:

Radius (r) = Diameter / 2 = 80 feet / 2 = 40 feet

Now, we can convert the volume from gallons to cubic feet because we need the measurements to b²e in consistent units:

1 gallon ≈ 0.13368 cubic feet

Volume (in cubic feet) = 825,000 gallons * 0.13368 cubic feet/gallon ≈ 110,127 cubic feet

Now, we can find the depth (h) using the formula:

110,127 cubic feet = π * (40 feet)² * h

Solving for h:

h = 110,127 cubic feet / (π * 40 feet)² ≈ 110,127 cubic feet / 5026.5482 square feet ≈ 21.92 feet

Therefore, the depth of water in the reservoir is approximately 21.92 feet.

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Answer:

2j = 36

Step-by-step explanation:

First, look for keywords.

"Product" means you multiply, and when you multiply a number by a variable you set it up by putting them together as demonstrated. 36 is the product so it's your total.