A bank loaned out ​$18,000​, part of it at the rate of 9% per year and the rest at 19% per year. If the interest received in one year totaled ​$​3000, how much was loaned at 9%
How much of the ​$18,000 did the bank loan out at 9%?

Answers

Answer 1
x * 0.09 + (18000-x)*0.19= 3000
x*(-0.1) + 3420 = 3000
x = -420/(-0.1)
x = 4200

The bank loaned out $4,200 at 9%

Related Questions

please help i don't know this one

Answers

It’s the last circle

Answer:

Hey do you know the answer to the question you wrote a while ago?

Step-by-step explanation:

(02.05)

Two similar triangles are shown on the coordinate grid:

A coordinate plane is shown. Triangle XYZ has vertices X at negative 5 comma negative 1, Y at negative 6 comma negative 2, and Z at negative 3 comma negative 2. Triangle X double-prime Y double-prime Z double-prime has vertices X double-prime at 10 comma negative 2, Y double-prime at 12 comma negative 4, and Z double-prime at 6 comma negative 4.

Which set of transformations has been performed on triangle XYZ to form triangle X′′Y′′Z′′?  

Do you?? :(

How do I solve the one that’s blank ?

Answers

Answer:

x = 9.1

Step-by-step explanation:

x^2 + 16^2 = 18.4^2

x^2 + 256 = 338.56

x^2 = 82.56

x = 9.1

those are currency exchange rates 1 us dollar = 7.76 hk dollars 1 us dollar =1.47 nk dollars work out the value of 1000 hk dollars in nz dollars

Answers

Answer: 1000 HK dollars has the same value as 188.15 NZ dollars.

Step-by-step explanation:

We know that:

1 US dollar = 7.76 HK dollars

1 US dollar = 1.46 NZ dollars.

We have 1000 HK dollars, and we want to know the value in NZ dollars.

First, let's rewrite the 1000 HK dollars in US dollars.

Here we use the relation:

1 US dollar = 7.76 HK dollars

Then:

1 = (1 US dollar/7.76 HK dollars)

Then we can write:

1000 HK = (1000 HK)*1 = (1000 HK)*( (1 US /7.76 HK ))

1000 HK = (1000 HK/7.76 HK)* 1 US = 128.87 US

1000 HK  = 128.87 US

Now we can use the relationship:

1 US =  1.46 NZ

Then:

1 = (1.46 NZ)/(1 US)

So we can rewrite:

128.87 US = (128.87 US)*1 = (128.87 US)*( (1.46 NZ)/(1 US))

128.87 US = (128.87 US/1 US)*1.46 NZ = 188.15 NZ

Then:

1000 HK = 128.87 US = 188.15 NZ

So we can conclude that 1000 HK dollars has the same value as 188.15 NZ dollars.

Given the definition of f(x)and g (x) below, find the value of (f g)(-1)

Answers

Answer:

f(g(-1))  = 7

Step-by-step explanation:

Given the functions

f(x) = x^2 + 3x - 11

g(x) = 3x+6

f(g(x)) = f(3x+6)

f(3x+6) = ( 3x+6)² + 3( 3x+6) - 11

Substitute the value of x = -1

f(g(x)) = ( 3x+6)² + 3( 3x+6) - 11

f(g(-1)) = ( 3(-1)+6)² + 3( 3(-1)+6) - 11

f(g(-1)) = (-3+6)²+3(-3+6) - 11

f(g(-1))  = 3² + 3(3) - 11

f(g(-1)) = 9+9-11

f(g(-1)) =18 -11

f(g(-1))  = 7

The diameter of a circle is 18 cm. Find the circumference to the nearest tenth to the nearest tenth.

Answers

c=2πr. r=18/2=9

=2 ×22/7 ×9

=56.6 to the nearest tenth

Find m∠ABC in the picture. (it's not solving for x.)

Answers

Answer:

20°

Step-by-step explanation:

180-140=40

1/2 of 40=20

I already know the answer but I want to see if people get it right :) will give brainiest to correct answer.

There is a patch of lily pads on a lake. Every day, the patch doubles in size.
If it takes 48 days for the lily pads to cover the entire lake how much days does it take for the lily pads to cover half the lake.

Answers

Answer:

is it 47? I'm not sure

if not can you explain it to me

Answer:

47 days

Step-by-step explanation:

Since the patch of lily pads double each day, the day before day 48 would cover half of the lake.

subtract 15/12and 5/6​

Answers

Answer:

5 / 12

Step-by-step explanation:

You must have common denominators in order to add or, in this case, subtract.

Answer:

[tex] \frac{15}{12} - \frac{5}{6} [/tex]

We have a simple formula that can be reduced We will put it into a combined form [tex]1 \times \frac{3}{12} - \frac{5}{6} [/tex]Find a common numerator [tex]1 \times \frac{3}{12} - \frac{10}{12} [/tex]So our answer is [tex] \frac{5}{12} [/tex]

HELP WITH 8 & 9 PLEASEEEEEE!?!?!?!?!,

Answers

Answer:

8. D

9. C

10.  B. - 50

Step-by-step explanation:

8.y+3 = 1/2 (x+4)

x=-4      y+3=0     y=-3     pass(-4,-3)

9.only C passed the vertical line test

10. a₁ = 4

a₂ = 4-2 = 4 - (2*1) = 2

a₃ = 2-2=0 = 4 - (2*2)

...

a₂₈ = 4 - (2*27) = 4-54 = -50

To make mashed potatoes from a box you need 2/3 cups of water and 1/8 cups of milk. Write a unit rate equivalent to the ratio of water to milk

Answers

Answer:

16:3

Step-by-step explanation:

Cups of water needed = 2/3

Cups of milk needed = 1/8

We need to find a unit rate equivalent to the ratio of water to milk. Dividing the amount of water needed to that of cups. So,

[tex]R=\dfrac{\dfrac{2}{3}}{\dfrac{1}{8}}\\\\=\dfrac{2}{3}\times 8\\\\=\dfrac{16}{3}[/tex]

So, the required ratio is 16:3.

9.A bucket contains 25 kg of jelly beans.Cups containing 1.8 kg of jelly beans are measured out from the bucket.
a) How many full cups will be measured out?
b)What mass of jelly beans remain in the bucket ​

Answers

Answer:

a) 13 cups

b) 1 .6kg

Step-by-step explanation:

a) 25 / 1.8 = 13.89

13 cups

to check the answer:

13 cups x 1.8kg per cup = 23.4kg in total

we can use 23.4 to figure out b

b) 25 kg - 23.4kg = 1.6kg

1.6kg

PLEASE HELP!!! I WILL GIVE BRAINLIEST

Answers

Answer:x=2y=3

Step-by-step explanation: I did this before

which of the following is NOT a property of all parallelograms

(1) the diagonals are perpendicular
(2) the diagonals bisect each other
(3) opposite sides are congruent
(4) adjacent angles are supplementary​

Answers

2- the diagnosis bisect each other
2, the diagonals bisect each other :)

pls help me 70 pts will give brainiest

Answers

Answer:

brooooo what kind of math are you doingg- that looks hard

Step-by-step explanation:

Factor the expression 24x + 15

Answers

3(8x + 5)
Hope it helps

Answer:

3(8x+5)

Step-by-step explanation:

Add this expression to make it the shortest way of rewriting it as possible!



(2x + 5y + 8f) + (4x + 6f - 2y)

Answers

The shortest way is 14f + 6x + 3y

Use the Associative Property of Addition to write an expression equivalent to (u + 2) + 8.
Which expression is equivalent to (u + 2) + 8 by the Associative Property of Addition?
OA. U + 2 + 8
OB. 8+ (u + 2)
OC. (u + 8) + 2
OD. u + (2+8)

Answers

Answer:

D

Step-by-step explanation:

First of, associative property of addition is rearranging the parenthesis and not moving the numbers

A is incorrect because you can not take out the parenthesis in the equation

B is inccorrect because they change the position of the number

C is incorrect because they change the position of number

D is correct. It only change the position of the parenthesis

Given interest of $10,510 at 12 percent for 30 days one can calculate the principal as:

Answers

Answer:

$1,065,597.22

Step-by-step explanation:

Simple interest = Principal * Rate * Time/100

10,510 = P * 12 * 30/365*100

10,510*365*100 = 360P

383,615,000 = 360P

Note that the time was converted to years by dividing by 365

P = 383,615,000/360

P = $1,065,597.22

Hence the principal is $1,065,597.22

The principal amount is $1065597.222 and this can be determined by using the formula of simple interest and the given data.

Given :

Final amount = $10510Interest rate = 12%Time period = 30 days

The following steps can be used in order to determine the principal amount:

Step 1 - The simple interest formula can be used in order to determine the principal amount.

Step 2 - The formula of simple interest is given below:

[tex]\rm I = P\times R \times T[/tex]

where P is the principal amount, I is the simple interest, R is the interest rate and T is the time period.

Step 3 - Now, substitute the values of the known terms in the above formula.

[tex]\rm 10510 = P\times 0.12 \times \dfrac{30}{365}[/tex]

Step 4 - Simplify the above expression.

P = $1065597.222

For more information, refer to the link given below:

https://brainly.com/question/2793278

I NEED HELP NOW PLZ!!!

Answers

Answer:

A) P' (0, -9)

Step-by-step explanation:

The answer should be A

RANGE IS ANOTHER NAME FOR:

A. Middle

B. Average

C. Most

D. The distance between the biggest and largest numbers in a data set​

Answers

Answer:

D

Step-by-step explanation:

Range is the distance between the biggest and smallest numbers in a set

Which measurement is equivalent to 1 liter?

Answers

Answer:

4 Metric cups!

Step-by-step explanation:

Using a conversion calculator you find them equal to each other. Hope this is what you needed!

Answer:

1000 cubic centimeters

0.264172 US liquid gallon

Step-by-step explanation:

please help!!! will mark brainliest! "anna just received a 6% raise in salary. Before the raise she was making $52,000 per year. How much MORE will anna earn next year??

Answers

Answer:

y = 52000 ( 1 + .06) ^ 1

y = $ 55,120

Step-by-step explanation:

Answer:

3,120 dollars more

Step-by-step explanation:

since she received a raise of 6 percent, she'll now be making 106% of her original salary

so

52,000     100

------              ------

x                 106

106*52,000=5,512,000

5,512,000/100=55,120

BUT it says how much more shell make so we do

55,120-52,000=3,120

What are multiple that equal 23

Answers

Answer:

1 x 23 = 23

23 x 1 = 23

Step-by-step explanation:

A multiple is a number times another number.

In this case, we are looking for a number times another number that will equal 23.

1 and 23 are the only numbers that can be multiplied by each other to get 23.

The Washington Monument in Washington, D.C. is surrounded by a circle of 50 American flags that are each 100 feet from the base of the monument. The distance from the base of a flag pole to the top of the monument is 564 feet. What is the angle of elevation from the base of a flag pole to the top of the monument?

Answers

Answer:

Step-by-step explanation:

cosx=100/564

x=arccos(100/564)

x=79.79 degrees (to the nearest hundredth of a degree)

The angle of elevation from the base of a flag pole to the top of the monument is to be considered as the 79.79 degrees.

Calculation of the angle of elevation;

Since there is 100 feet from the base of the monument.

And, The distance from the base of a flag pole to the top of the monument is 564 feet

Now the angle should be like

cosx = 100/564

x = arc cos(100/564)

x=79.79 degrees

hence, The angle of elevation from the base of a flag pole to the top of the monument is to be considered as the 79.79 degrees.

Learn more about an angle here: https://brainly.com/question/124950

find the greatest common divisor of the numbers 96 and 212

Answers

Answer:

The GCF of 96 and 212 is 4.

^ I agree with the person above me

1. Subtract 0.207 from 0.61

Answers

0.61-0.207=0.403
Answer: 0.403

Plss help it would make my day lolz

Answers

Answer:

first one

Step-by-step explanation:

1/3 is the same as 2/6 and 3/6 is the same as 1/2

ISF YOU GET IT RIGHT I WILL NAME YOU BRAINLIST.


A sequence can be generated using a, = 60(1/2)"-1. What are the first four terms in the sequence? A 60, 120, 240, 480 B 60, 30, 15, 7.5 C С 60, 120, 180, 240 60, 90, 135, 202.5 ОА B. D​

Answers

Answer:

C

Step-by-step explanation:

You just plug in the # in the sequence you wanna find,

n=1

60((1)/(2))^(1-1) = 60  (1st term)

--

n=2

60((1)/(2))^(2-1) = 30 (2nd term)

--

n=3

60((1)/(2))^(3-1) = 15 (3rd term)

--

n=4

60((1)/(2))^(4-1) = 7.5 (4th term)

Both the cell membrane and the cell wall act to protect the organelles within a cell. Which of the following best describes how the cell membrane is different from the cell wall?

A. The cell membrane is a single-layered membrane, while the cell wall is a double-layered membrane.
B. The cell membrane is made of a tough cellulose fiber, while the cell wall is made of a flexible glycogen fiber.
C. The cell membrane only controls what crosses into the cell, and the cell wall only maintains a cell's rigidity.
D. The cell wall is only found in plant cells, while the cell membrane is found in plant and animal cells.

Answers

Answer:

c

Step-by-step explanation:

The wall gives the cell support. The membrane controls what enters the cell

Use polynomial identities to factor 64 + 27a3.

Answers

I’m gonna assume the 3 next to a is an exponent since you can’t factor it if it’s not an exponent.
Note: use ^ before a number to tell the number after ^ will be an exponent. For example: 64+27a^3
Anyway let’s solve.
64+27a^3
Write in exponential form:
4^3+3^3 x3
Multiply the terms with equal exponents:
4^3+(3x)^3
Factor the expression using a^3+b^3=(a+b)(a^2-ab+b^2):
(4+3x)(4^2-4x•3x+(3x)^2)
Evaluate, calculate, and rewrite:
(4+3x)(16-12x+9x^2)
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