factor completely 16a^3-50a^2+36a

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values:

[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832[/tex]

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values:

[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5[/tex]

So, Amount saved if the interest is compounded semi-annually is $5849.5

(a). When compounded annually, the amount will be [tex]\$ 10,794.6[/tex]

(b). When compounded semi-annually, the amount will be [tex]\$ 10,955.6[/tex]

It is given that, an individual saves $5000 in a bank account at the beginning of each year for 10 years.

[tex]Principal(P)=5,000, t=10 years, rate(r)=8\%[/tex]

As we know that,

               [tex]Amount=P(1+\frac{r}{100} )^{t} \\\\Amount=5,000(1+\frac{8}{100})^{10} \\\\Amount=5,000*(\frac{108}{100})^{10}\\\\Amount=\$ 10,794.6[/tex]

When interest is compounded semi-annually;

[tex]r=8/2=4\%, t=10*2=20[/tex]

             [tex]Amount=5,000(1+\frac{4}{100})^{20} \\\\Amount=5,000*(\frac{104}{100})^{20}\\\\Amount=\$ 10,955.6[/tex]

Learn more about the compound interest here:

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Explanation:

To shift f(x) to the right three units, we need to replace every x with x-3

f(x) = (x+2)^2 + 1

f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3

f(x-3) = (x-1)^2 + 1

g(x) = (x-1)^2 + 1

The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).

Answer:

a store haves 98 boxes of tiles

Answer:

<XWV  ≅  <XJL

<LXJ  ≅  <VXW

LJ  ≅   VW

XW  ≅   XJ

Step-by-step explanation:

From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:

<XWV  ≅  <XJL

<LXJ  ≅  <VXW

LJ  ≅   VW

XW  ≅   XJ

Answer:

125

Step-by-step explanation:

(n-2)180

(6-2)180

=720

720-120-110-100-130-135

=125

Answer:

Step-by-step explanation:

It is a six sided figure sum of all angles should be 720 degree.

595 +x=720

x=720-595

x=125 degree

Another method

Sum of interior angles of a polygon is

= (n-2)×180=(6-2)×180= 720 degree

Answer:

$49,216.78

Step-by-step explanation:

A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k

A = Present value of deferred annuity

R = Payment at the end of period

R = 30,000

i = 0.06 / 2

n = (4)*2 = 8

k = deferred period, (18)*(2) = 36

A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36

A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36

A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185

A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185

A(n,k) = 30,000*6.732744875*0.24366872185

A(n,k) = 49216.78014700164

A(n,k) = $49,216.78

So the lump sum payment that the university accept now is $49,216.78

Answer:

Sawyer has to pay $10 each week to pay his mom back

Step-by-step explanation:

Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.

The remaining $30 will be covered by his mom, given he pays the money back in three weeks.

If he pays the same amount each week, then each week he should pay $30 / 3 = $10

Sawyer has to pay $10 each week to pay his mom back

Answer:

1) 1/2

2)7/10

3)11/12

4)4/96

5)43/30

6)5/40

I will do one only. You gotta do your own homework.

Answer:

if I'm supposed to find the number it is 768

Step-by-step explanation:

double 96 which equals 192 then multiply that times 4 which is 768

The 50% of 25% of the number 96 will be equal to 12.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number is 96 and the value of 50% of 25% of 96 will be calculated  as,

P = 50% x 25% x 96

P = 0.5 x 0.25 x 96

P = 12

Therefore, 50% of 25% of the number 96 will be equal to 12.

To know more about percentages follow

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#SPJ2

Answer:

(0, -6) (-7, 9)

Step-by-step explanation:

I recommend watching a khan academy video, its how I learned, cause I don't really know how to explain it on here  

Answer:

3)7/12

4)2*14/25

5)25

hope my effort will help you in some way

Answer:

Step-by-step explanation:

3)   [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3

                [tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]

4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]

             [tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]

5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]

              = 5 * 5

              = 25

Answer:

41

Step-by-step explanation:

205 divided by 5=41

Answer:

The Answer is 41 oranges in each box

[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]

Answer:

2/4 or 1/2

Step-by-step explanation:

slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.

y-axis is the rise because it goes up and down

x-axis is the run because it's horizontal

rise/run= 2/4= 1/2 because you always simplify.

Answer:

1/2

Step-by-step explanation:

just because it is

Answer:

4

Step-by-step explanation:

4

Answer:

15

Step-by-step explanation:

Complete question is;

When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices

A) random distribution pattern

B) uniform distribution pattern

C) logistic distribution pattern

D) clumped distribution pattern

Answer:

D: Clumped Distribution Pattern

Step-by-step explanation:

Looking at the options, the correct option is Clumped distribution pattern.

This is because in density and dispersion phenomenon, Clumped patterns will normally occur when resources get concentrated in small areas within a larger habitat or due to individuals that form social groups. However,on large spatial scales, majority of organisms will likely have clumped distributions mainly because their habitats are not distributed uniformly over wide areas.

Answer:

Step-by-step explanation:

Subtract 5

Answer:

Example: Addition and subtraction are inverse operations

Answer:

it is 16 + 10 ÷ 2

Step-by-step explanation:

Answer:187 questions answered correctly

Step-by-step explanation:

4*48=192

192-5=187

Answer:

$31.5

Step-by-step explanation:

-$45

-30 percent off of $45

30 times 45 divided by 100

1350/100

13.5

45-13.5

$31.5

Answer:

6 hotdogs and 4 drinks

Step-by-step explanation:

4x + 1.50y = 30

For questions like this, you can do the equation that represents the price of the products first.

x + y  [tex]\geq[/tex] 9

After that, you can write the equation that represents the quantities.

Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:

The first equation:

4x + 1.50y =30

*Subtract 4x from both sides, which leads to:

1.50 y = -4x + 30

*Divide by 1.50 on both sides, which leads to:

y = -2.66x + 20

The second equation:

x + y  [tex]\geq[/tex] 9

*Subtract x from both sides, which leads to:

y  [tex]\geq[/tex] -1x + 9

Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.

Here is the graph: (it is attached as a file)

You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.

Answer:

[tex]y\geq 9-x[/tex] shaded up

[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down

4 hotdogs, 8 drinks

Step-by-step explanation:

Answer:

0.25000

Step-by-step explanation:

Answer:

Is a obtuse triangle

Step-by-step explanation:

Answer:

1. yes

2.yes

Step-by-step explanation: you did the math right good

Answer:

7 FLowers

Step-by-step explanation:

If you take away 3 from 12, you end up with 9, then you take 2 more away, leaving you with 7 flowers.

10 - 6v = -104

-6v = -104 - 10

-6v = -114

6v = 114

v = 114/6

v = 57/3

v = 19

Answer:

I believe that the paper should be around 8 1/2 x 11.

You can find 8 1/2 by going to the mark shown between 8 and 9 on the side with inches.