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3 years ago

What is the solution of −21 = n − 8?

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

N=-13

Step-by-step explanation:

In-s [12.5K]3 years ago

6 0

Answer:

-13 = n

Step-by-step explanation:

When working with equations you have to get the variable (n) by itself. You would add +8 to both negative 8 and negative 21, this would eliminate the 8, and then you would add the eight to negative 21, (21-8), which equals 13. And then add the negative sign back on, equaling -13.

I hoped this helped^^

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$17,818 is invested, part at 11% and the rest at 6%. If the interest earned from the amount invested at 11% exceeds the interest

erma4kov [3.2K]

Answer:We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.We know the total amount of money invested. $17818

x+y=17818,

We know that the difference in interest earned by the two accounts is $490.33

0.11*x-0.06*y=490.33

x=17818-y

We substitute for x

0.11*(17818-y)-0.06*y=490.33

We multiply out

1959.98-0.11y-0.06*y=490.33

We combine like terms.

1469.65=0.17*y

Isolate y

y=1469.65/0.17

y=8645 at 6%

Calculate x

x=17818-8645

x=9173 at 11%

Check

0.11*9173-0.06*8645=490.33

interest earned at 11%=1009.03

interest earned at 6%=518.70

1009.03-518.7=490.33

490.33=490.33

Since this statement is TRUE and neither amount is negative then all is well.

8 0

3 years ago

Round 8,624 to the nearest thousand

Shtirlitz [24]

8,624 rounded to the nearest thousand is 9,000

Hope this helps

-AaronWiseIsBae

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3 years ago

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Translate this phrase into an algebraic expression

cupoosta [38]

Answer:

19x - 6

Step-by-step explanation:

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Plz Mark Brainliest if Correct!!!

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3 years ago

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A tree is 117 inches tall. How tall is it in feet and inches? ?

xz_007 [3.2K]

Answer:

9 ft and 9 inches

Step-by-step explanation:

there are 12 inches in a foot

1ft = 12in

2ft = 24 in

3ft = 36 in

4ft = 48

and so on

9 ft = 108 inches which is the closes to 117.

So we have 9 ft

subtract 117 from 108, which is 9 inches left over

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3 years ago

Question 1. Enter the ratio equivalent to sin(B)

Deffense [45]

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

(1) sin(B) = $\frac{side opposite to B}{hypotenuse}$

= $\frac{21}{29}$

= 0.72

(2) sin(A) = $\frac{20}{29}$

sin(A) = 0.689

∠CAB = $sin^{-1}(0.689)$

∠CAB = 43.551°

(3) We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

8 0

3 years ago