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3 years ago

Solve the equation | w + 1.5 = 8.75

Mathematics

2 answers:

11111nata11111 [884]3 years ago

6 0

Answer:

8.75-1.5=7.25

w=7.25

Step-by-step explanation:

madam [21]3 years ago

4 0

Answer:

w = 7.25

Step-by-step explanation:

w + 1.5 = 8.75

To find what w is, you need to isolate. To isolate w from 1.5, you have to subtract 1.5 by 1.5.

w + 1.5-1.5 = 8.75

What you do to one side of the equal sign, you have to do to the other

w + 1.5-1.5 = 8.75 - 1.5

1.5-1.5 cancels out and 8.75 - 1.5 equals to 7.25

w = 7.25

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Chelsea took out three loans for a total of $ 78 comma 000 78,000 to start an organic orchard. Her business-equipment loan was

lianna [129]

Answer:

Business-equipment loan, A=$15000

Small-business loan, B=$24000

home-equity loan, C= $39000

Step-by-step explanation:

Let the Business-equipment loan at an interest rate of 11%=A

Let the small-business loan was at an interest rate of 5% =B

Let her home-equity loan was at an interest rate of 4.5%.=C

Since her total Loan=$78000

A+B+C=78000....(I)

Simple Interest = (P X R X T)/100

Since the Time, T=1 year

Interest on A = 0.11A

Interest on B = 0.05B

Interest on C = 0.045C

The total simple interest due on the loans in one year was $4605.

0.11A+0.05B+0.045C=4605....(II)

The annual simple interest on the home-equity loan was $105 more than the interest on the business-equipment loan.

0.045C = 0.11A +105...(III)

We proceed to solve the simultaneous equations.

A+B+C=78000....(I)

0.11A+0.05B+0.045C=4605....(II)

0.045C = 0.11A +105...(III)

From (III), 0.045C = 0.11A +105

Substitute 0.045C = 0.11A +105 into (II).

0.11A+0.05B+0.11A +105=4605

0.22A+0.05B=4500

From (III),

$C=\frac{22A}{9}+\frac{7000}{3}$

Substitute into (I)

$A+B+\frac{22A}{9}+\frac{7000}{3}=78000$

$\frac{31A}{9}+B=78000-\frac{7000}{3}$

$\frac{31A}{9}+B=\frac{227000}{3}$

$\frac{31A+9B}{9}=\frac{227000}{3}$

3(31A+9B)=9 X 227000

31A+9B=681000

0.22A+0.05B=4500 (Multiply by 9)

31A+9B=681000 (Multiply by 0.05)

1.98A+0.45B=40500

1.55A+0.45B=34050

Subtracting

0.43A=6450

A=$15000

From (III)

$C=\frac{22A}{9}+\frac{7000}{3}$

$C=\frac{22X15000}{9}+\frac{7000}{3} =39000$

C=$39000

from (I)

A+B+C=78000

15000+B+39000=78000

B=$24000

8 0

3 years ago

When a mathematician writes QED at the end of a proof, what does this

blondinia [14]

(C)

Step-by-step explanation:

Q.E.D means "quod erat demonstrandum" indicating that the proof is completed.

6 0

3 years ago

Enter your answer as a decimal. Round ONLY your final answer to the nearest tenth.

Anastaziya [24]

I hope this helps you

PQ^2=9^2+14^2-2.9.14.cos20

PQ^2=81+196-236

PQ^2=41

PQ~6,4

4 0

4 years ago

Read 2 more answers

Problem 1.(32 points) A random sample of 100 Uber rides in Chicago has on average 5.4miles per ride. Assume the distribution of

marshall27 [118]

Answer:

a) CI = ( 5,1 ; 5,7 )

b) SE = 0,1

Step-by-step explanation:

a) Sample random n = 100

Mean = μ = 5,4

Standard deviation s = 1,3

CI = 99 % α = 1 % α = 0,01 α/2 = 0,005

z(c) for 0,005 is from z-table z(c) = 2,575

z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n

CI = 5,4 ± 2,575* 1,3/10

CI = 5,4 ± 0,334

CI = ( 5,1 ; 5,7 )

b) SE = Standard deviation / √n

SE = 1,3 /10 SE = 0,1

We can support that with 99 % of probability our random variable will be in the CI.

6 0

3 years ago

What is the answer to this?

konstantin123 [22]

Answer:

$\huge\boxed{-6}$

Step-by-step explanation:

Since we know the values of a, b, and c, we can substitute them into our expression and get the value.

$-2b + | -3c + a |\\\\-2(6) + |-3(-3) + -3 |$

A negative multiplied by a negative gets us a positive.

$-2(6) + |9 + -3 |$

Adding a negative is the same as subtracting a positive.

$-2(6) + |9 -3 |\\-2(6) + 6$

$-2 \cdot 6 = -12\\\\-12+6\\\\-6$

Hope this helped!

3 0

3 years ago