Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?

Answers

Answer 1

Answer: 90946.55

Step-by-step explanation:

Answer 2

The required amount after 20 years would be $90946.55.

Given that,
Oliver invested $53,000 in an account paying an interest rate of 2.7% compounded daily.

What is the investment?

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

Here,
According to the question,
The amount after 20 years is given as,


[tex]y = 53000[1 + 0.27/365]^{365*20}\\y = 90946.54732\\y \approx 90946.55[/tex]

Thus, the required amount after 20 years would be $90946.55.

Learn more about investments here:

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Jason is baking a cake. The recipe calls for 2 cups of sugar for every 5 cups of flour. If he is making a small cake and is only using 1 cup sugar, how many cups of flour should he use? *

Answers

Answer:

2 1/2 cups

Step-by-step explanation:

First, our ratio is sugar:flour or 2:5, so our question is 1:? We find ? by finding how we got to 1 on the other side.

2 ÷ 2 = 1

And what we do to one side, we always have to do to the other to make it proportional, so

5 ÷ 2 = 2.5 or 2 1/2

So, if Jason is using 1 cup of sugar, he should use 2 1/2 cups of flour

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Foster’s answer to the question he wrote for Ranger was 7x+(-3), while Ranger’s answer was 7x-3.They both checked their work by letting x=5, and they both claim to be correct.Are they both correct?Explain.

Answers

Answer: They are both correct :)

Step-by-step explanation:

They are both correct because 7x + (-3) is the same thing as 7x - 3 if you simplify it.

When you simplify it, you change the expression to:

7x + 1 (-3)

So now you have to distribute the 1 which gives you:

7x - 3

..since positive x negative is negative.

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What’s the solution for x-0= 0

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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,260 ft Determine the​ flag's width and length if the length is 290 ft greater than the width.

Answers

Answer:

length= 710 width= 420

Step-by-step explanation:

As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:

2l+2w= 2260

With the length as:

l= w+290

The length, substituted into the perimeter is:

2(w+290)+2w=2260

Distribute:

4w+580=2260

Subtract:

4w=1680

Divide:

w=420

To find the length, take the width and add 290:

420+290=710

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its either b or d

Step-by-step explanation:

b or d is the answer

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Answer:

160 mins

Step-by-step explanation:

Pls answer these for me!!! I need it assap because I have to go to dance and when I come back it’s like 10!!! And that’s when I sleep:( and when I eat it’s 12

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Answer:

area models

Step-by-step explanation:

an area modle is something to model area

Answer:

1. round

2. associative property of multiplication

3. commutative property of multiplication

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Because it’s an equalacteral it should be 60

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Answer:15

Step-by-step explanation:

we know from the markings on the sides of the triangle that this is an equilateral triangle. The angles of an equilateral triangle are all equal. because of this, we can put these two equations to equal each other
since we are solving for y, we want to isolate y on one side.

6x+6=5y+10
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A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function

h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?

Answers

Answer:

At time t=0.5, the stone reaches a maximum height of h= 35.

Step-by-step explanation:

A quadratic function or function of the second degree is a polynomial function defined by:

f(x)=a*x² + b*x +c

The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values ​​of a function.

The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

h represents the value of its abscissa (value of x).

k represents the value of its ordinate (value of f (x)).

The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]

The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c

In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:

[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]

Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:

f(0.5)=-16*0.5² + 16*0.5 +32

f(0.5)= 35

At time t=0.5, the stone reaches a maximum height of h= 35.

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Answer:

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Answer:

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Answer:

0.5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

1.) A      2.) B

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb

Answers

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

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

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

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Answer:

x=6 or x=−6

Step-by-step explanation:

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a

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer: I need help too to that

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

The third table

Step-by-step explanation:

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Solution

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Answer:

I think it is 49

Step-by-step explanation:

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