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Vladimir79 [104]
2 years ago
9

A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i

nterest was $3,600 that year. How much did the credit union loan out at each rate?
Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
5 0

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

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Mama L [17]

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

6 0
3 years ago
Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b
julia-pushkina [17]
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

381+24.77=405.77

So now we know that Jon's total bill for these items is $405.77.
4 0
3 years ago
Answer the Blanks:
vfiekz [6]

Answer:

1. 90°

2. 90°

3. 40°

4. 45°

5. 45°

Step-by-step explanation:

<u>Given:</u> ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

<u>Solution:</u>

1. ∠ADC is a right ange, because CD⊥AB, so

m\angle ADC=90^{\circ}

2. ∠CDB is a right ange, because CD⊥AB, so

m\angle CDB=90^{\circ}

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}

4. By Angle Addition Postulate,

m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}

6 0
3 years ago
Please! Find the values of x,y and Z
bearhunter [10]

Answer:

x = 24

y = 10

z = 17

Explanation:

It's long to explain, so heres a picture of how solved each. hope this helps!! :)

3 0
2 years ago
Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada
disa [49]

Answer:

$ 2100

Step-by-step explanation:

De la pregunta anterior:

1 metro de cerca de alambre = $ 150

14 metros = x

Cruz multiplicar

x = 14 × $ 150

x = $ 2100

Por lo tanto, costaría $ 2100 por una cerca de 14 metros

6 0
2 years ago
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