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3 years ago

Identify the rule(s) of algrebra illustrated by the statement 1/7 (7x12)=(1/7x7)12=1x12=12

Mathematics

2 answers:

Naily [24]3 years ago

3 0

1° associativity
2° symetrical
3° neutral

strojnjashka [21]3 years ago

3 0

1. Associative property
2. Multiplicative Inverse 
3. Identity

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suppose the cost in dollars of producing x toothbrushes is given by the polynomial 1.00x + 350 and the revenue generated from sa

kati45 [8]

Answer:

Wait whats the question?

Step-by-step explanation:

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2 years ago

Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round

trapecia [35]

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

$tan(x)=\frac{250}{850}$

$x=tan^{-1}(\frac{250}{850})$

16.38

$x=16.38$

so,

angle of depression is 16.38 degree........Answer

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3 years ago

You find an interest rate of 10% compounded quarterly. Calculate how much more money you would have in your pocket if you had us

Elena-2011 [213]

Answer:

see the explanation

Step-by-step explanation:

we know that

step 1

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

$r=10\%=10/100=0.10\\n=4$

substitute in the formula above

$A=P(1+\frac{0.10}{4})^{4t}$

$A=P(1.025)^{4t}$

Applying property of exponents

$A=P[(1.025)^{4}]^{t}$

$A=P(1.1038)^{t}$

step 2

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$r=10\%=10/100=0.10$

substitute in the formula above

$A=P(e)^{0.10t}$

Applying property of exponents

$A=P[(e)^{0.10}]^{t}$

$A=P(1.1052)^{t}$

step 3

Compare the final amount

$P(1.1052)^{t} > P(1.1038)^{t}$

therefore

Find the difference

$P(1.1052)^{t} - P(1.1038)^{t}$ ----> Additional amount of money you would have in your pocket if you had used a continuously compounded account with the same interest rate and the same principal.

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3 years ago

What is the y intercept for y = -4x + 19 y = 2x + 1

max2010maxim [7]

$y=mx+b\\\\m-slope\\b-y\ intercept\\\\y=-4x+\boxed{19}\to\ y\ intercept\ is\ 19\to(0;\ 19)\\\\y=2x+\boxed{1}\to\ y\ intercept\ is\ 1\to(0;\ 1)$

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2 years ago

You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan c

jenyasd209 [6]

Answer:

357 minutes

Step-by-step explanation:

I subtracted 9 cents/minute from the 23 cents/minute to get 14 cents to get the difference between the two per minute charges. I then divided the monthly cost of $49.95 by .14 to get 356.79... So if you used 357 minutes in a month, the second plan would be 3 cents cheaper at $82.08 (.09 x 357= 32.13 + 49.95), vs. the first plan costing $82.11 (.23 x 357). At 356 minutes the first plan would still be cheaper.

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3 years ago