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Xelga [282]
3 years ago
13

your final balance on an investment of 270$ invested at 10% was $459.00, For what period of time did you invest?

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Answer:

n= 5.57 years

Step-by-step explanation:

Giving the following information:

your final balance on an investment of 270$ invested at 10% was $459.00

<u>To calculate the time passed between values, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)

FV= 459

PV= 270

i= 0.1

n= ln(459/270) / ln (1.1)

n= 5.57 years

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The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume, so how much does a company
riadik2000 [5.3K]

Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of both boxes.

<em>Surface area (A) = 2wl + 2lh + 2hw, </em>

Where w is width, l is length , and h is height.

  • Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
  • Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2

Since 1 inch = 0.0833333 foot

  • Box 1 = 448 in2 x 0,0833333 =37.34 ft2
  • Box 2= 424 in2 x 0,0833333 =35.19 ft2

Since the material used to make a storage box costs $1.25 per square foot.

  • Box 1 =37.34 ft2 x1.25 = $ 46.675
  • Box 2= 35.19 ft2 x 1.25 =$43.98

Since 50 of each are made:

  • Box 1 = $ 46.675 x50 =2,333.750
  • Box 2= $43.98 x50 =2,199.37

Subtracting both costs:

2,333.750(1) - 2,199.37(2) = $134.38

6 0
3 years ago
Please hurry please please, please PUT ALOT OF POINTS AND WILL BUT BRINEY
Fynjy0 [20]

Answer:

2678.06

Step-by-step explanation:

Annual is once every year and 3.5% of 2,500.00 is

3.5% ×2,500.00 = 87.5

so in the first year Deirdre has 2500.00 + 87.5 = 2587.5

then you find 3.5% of 2587.5 which is 90.56250000000001

but since it's money we round it to 90.56

2587.5+90.56= 2678.06

5 0
3 years ago
Read 2 more answers
1.Graph f(x) = -1.5x +6<br> 2.Graph f(x) = -1/2x-5
nalin [4]

Ans(1):

Given equation is f(x)=-1.5x+6

we can plug any number like x=0 and x=2 to find the f(x) also called y-value

plug x=0

f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6

Hence first point is (0,6)

plug x=2

f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3

Hence first point is (2,3)

now we can graph both points then join them to get final graph of f(x)=-1.5x+6

---------------------

Ans(2):

We can repeat exactly same process for f(x) = -1/2x-5.

So the final graph will look like attached picture:


5 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
eimsori [14]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

8 0
3 years ago
Isaac is allowed to play video games for 5/3 hours a day. He has already played for 4/3 hours today. What fraction of an hour do
iren2701 [21]
1 whole which means 1 hour

8 0
3 years ago
Read 2 more answers
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