7,920 yd = mi ?? but, as a fraction.

The price of a commodity has fell down by 15% so that priya can buy 3 more commodities for Rs 1700. What was the original price

erastova [34]

Answer:

2,000

Step-by-step explanation:

write out an equation that represents the problem. the original price X fell by 15% to a new price of 1700:

X - (X*15%) = 1700

X(1-0.15) =1700

X=1700/(1-0.15)

X=2,000

convert 15% to decimal form:

15%=0.15

7 0

2 years ago

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

2 years ago

Complete the following.

Otrada [13]

Answer:

Step-by-step explanation:

1) the triangle is a right angle triangle.

From the given right angle triangle,

With 67° as the reference angle,

x represents the adjacent side of the right angle triangle.

17 represents the opposite side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Therefore,

Tan 67 = 17/x

xTan 67 = 17

x = 17/Tan 67

x = 17/2.3559

x = 7.22

2) From the given right angle triangle, with 24° as the reference angle,

x represents the opposite side of the right angle triangle.

12 represents the adjacent side of the right angle triangle.

To determine x, we would apply

the Tangent trigonometric ratio.

Tan θ = opposite side/adjacent side.

Therefore,

Tan 24 = x/12

x = 12Tan 24

x = 12 × 0.4452

x = 5.34

4 0

3 years ago

Which of the following tables represents a quadratic function ? Explain how you know .

Aliun [14]

B, the first differences are not the same , that proves it is not linear. The second set of differences are the same this shows it is a quadratic function.

4 0

2 years ago

Finding the Median from a Dot Plot

MAXImum [283]

Answer:

median rainfall for highland storms = 18mm

median rainfall for lowland storms = 18mm

or

median rainfall for lowland storms = 17mm if the list of numbers is

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

Step-by-step explanation:

The median is the middle number of a sequence of ordered numbers.

The formula for the median is:

median = (n + 1 )/ 2

where n = total number of values

Note: the number that you find with this formula is the position. SO you have to go to the sequence of numbers and find the number that lies in that position.

Highland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

= 16/2

= 8

The median is the umber in the 8th position

so, the median rainfall for highland storms is 18mm

Lowland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

= 16/2

= 8

The median is the number in the 8th position.

∴ median rainfall for lowland storms is = 18mm

<u>Unclear: if this is the list of numbers: </u>

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

then the median would be:

n = 16

median = (16+1)/2

= 17/2

= 8.5

This means the median lies between the numbers in the 8th and 9th position.

∴ The median is = (16 + 18)/2

= 34/2

= 17

5 0

2 years ago

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