A bank loaned out ​$13,000​, part of it at the rate of 7% per year and the rest at 15% per year. If the interest received in one year totaled ​$1500​, how much was loaned at 7%?

Answers

Answer 1

Answer:

Total yearly interest for the two accounts is: $1500

Step-by-step explanation:

Total amount of money invested: $13000

x+y=13000,

Total yearly interest for the two accounts is: $1500

0.07*x+0.17*y=1500

x=13000-y

Substitute for x

0.07*(13000-y)+0.17*y=1500

Multiply out

910-0.07y+0.17*y=1500

Combine like terms.

0.1*y=590

Isolate y

y=$ 5900.00 at 17%

x=13000-y

Calculate x

x=$ 7100.00 at 7%

Check

0.07*7100+0.17*5900=1500

497+1003=1500

1500=1500

If this statement is TRUE and neither amount is negative then all is well

(Hope this helps can I pls have brainlist (Crown)☺️)


Related Questions

[tex]\sqrt{72x^{7} q^{8} }[/tex]

Answers

Attachment picture is the solution. Please mark me brain if you think it help. Thank you!

PLZ HURRY IM TIMEDDD

Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.


Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.


Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.

Answers

Answer:

B, second option: the product of three fourths is not equal to 9

The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.

What is algebraic equation?

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12

The algebraic equation given by Sameer is wrong, the correct equation will be:

Let the total number of toppings be x.

[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]

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Find the value of m if 2y³+my²+11y+m+3 is exadly divisible by (2y-1)​

Answers

2y3 + my2 + 11y + m + 3 is exactly divisible but (2y-1) is

-7

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf p(y) = 2y^3+my^2+11y+m+3 [/tex]

We are also given that, p(y) is divisible by 2y - 1.

So, 2y - 1 is a factor of p(y).

[tex]\sf\longmapsto 2y-1=0[/tex]

[tex]\sf\longmapsto y=\dfrac{1}{2}[/tex]

So, 1/2 is a zero of p(y).

[tex]\sf\longmapsto p(1/2) =0 [/tex]

[tex]\sf\longmapsto p(y) = 2y^3+my^2+11y+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{2}\right)^3+m\left(\dfrac{1}{2}\right)^2+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

So,

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = 2\left(\dfrac{1}{8}\right)+m\left(\dfrac{1}{4}\right)+11\left(\dfrac{1}{2}\right)+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) = \dfrac{1}{4}+\dfrac{m}{4}+\dfrac{11}{2}+m+3 [/tex]

[tex]\sf\longmapsto p\left(\dfrac{1}{2}\right) =\dfrac{1}{4}+\dfrac{m}{4}+\dfrac{22}{4}+\dfrac{4m}{4}+\dfrac{12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{1+m+22+4m+12}{4} [/tex]

[tex]\sf\longmapsto 0 =\dfrac{5m+35}{4}[/tex]

[tex]\sf\longmapsto 5(m+7)=4\times0[/tex]

[tex]\sf\longmapsto 5(m+7)=0[/tex]

[tex]\sf\longmapsto m+7=0[/tex]

[tex]\longmapsto\bf m=-7[/tex]

Therefore, the value of m is -7.

which is an appropriate estimate for the following 62,372/29?

Answers

Answer:

=62372/29

=2150.758621 ans.

mark me brainlist plz.

Answer:

Step-by-step explanation:

62,372/29 = about 2150

eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help

Answers

Answer:

200

Step-by-step explanation:

dude ur in college how do you not know this?

A grocery store sells several different types of coffee beans by the pound. The grocery store has the coffee beans that are listed in the table.

Coffee Bean Type Weight (lb)
Arabica 9/10
Robusta 5/6


If the coffee beans are sold in 1/16 -pound bags, there are ? 12 , 13 , 14, 16 which one ??...
full bags of Arabica coffee beans.

Answers

i wouldnt know since i dont like coffee

Homework help please

Answers

Answer:

h=-136

Step-by-step explanation:

..............

HELP HELP

Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find m∠Y

Answers

Answer:

m∠Y= 120

Step-by-step explanation:

Given,

FGHI≅WXYZ

m∠H=m∠Y [ Corresponding parts of congruent figures]

m∠Y= 120

9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.

Answers

Answer:

11400000

Step-by-step explanation:

1 whale = 380000 lbs

30 whale weighs 380000×30

30 whales = 11400000

Find an equation for the graph below

Answers

Answer:

y=4/5x-0.8

Step-by-step explanation:

How many years will it take an investment of
$3,000 to double itself when interest is
compounded monthly at 8%? Round your answer to
the nearest year.

Answers

Answer:

The nearest cent is going to be %1.00 So it’s B girla

Step-by-step explanation: i think it is

PLEASE NO ONE WILL HELP ME WITH THIS
Find a sequence of rotations, reflections, translations, and dilations showing that one figure is similar to the other.
BE SPECIFIC: give the amount and direction of a translation, a line of reflection, the center and angle of a rotation, and the cent and scale factor of a dilation.

Answers

Answer:

ABCD dilates in a scale of 1/3 by the center of A followed by a reflection of C.

AD/AD = 1/3

Step-by-step explanation:

1. Solve 4x – 5 > 2x + 17.
There’s a line _ under the greater sign

Answers

Answer:

X is grater than or equal to 6

Step-by-step explanation:

4x -5 > 2x + 17

+5 > 2x - 5

4x > 2x + 12

--

4


Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?

Answers

The difference in starting pay:

32,000 - 28,000 = 4,000

The difference in raises:

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Answer 5 years

Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.

The other offers a starting salary of $28,000 plus a raise of $1,800.

The difference in starting pay:

Thirty two thousand minus twenty eight thousand equal to four thousand.

32,000 - 28,000 = 4,000

The difference in raises:

Eighteen thousand minus thousand equal to eight hundred.

1,800 -1,000 = 800

Number of years to be the same:

4,000 / 800 = 5

Hence after 5 years the two jobs will have the same salary.

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–12+33a −46a

SIMPLIFY

Answers

Answer:

-12-13a

Step-by-step explanation:

Convert the equation − x − 2 y = 8 from standard to slope-intercept form

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.

-x - 2y = 8

-2y = x + 8

Now that we have y on one side, we can divide everything by -2.

-2y/-2 = x/-2 + 8/-2

y = -1/2x - 4

That looks like y = mx + b form.

If you have any further questions or need clarification on anything, let me know!

Consider the following, what is the summation of all solutions?
(2x+4)^2+1=5

Answers

Answer:

- 4

Step-by-step explanation:

(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify

4x² + 16x + 16 + 1 = 5

4x² + 16x + 17 = 5 ( subtract 5 from both sides )

4x² + 16x + 12 = 0 ( divide terms by common factor 4 )

x² + 4x + 3 = 0 ← in standard form

(x + 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4

I will give Brainliest :)​

Answers

Answer:

Step-by-step explanation:

Explain why there is not enough information to state that CP is the perpendicular bisector of AB.

Answers

Answer:

First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.

Step-by-step explanation:

A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.

-kiniwih426

A scale model of the Great Pyramid of Giza is being installed in a museum. The edges of the square base have lengths of 5.6 feet and the height of the pyramid is 7.86 feet. Using these measurements, to how many significant figures could the volume of the pyramid be reported? Please help !!!
A. 1 significant figure
B. 2 significant figures
C. 3 significant figures
D. 4 significant figures

Answers

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Since in multiplication, we cannot have more significant figures than the number with the least significant figures. So, the number of significant figures in our volume of the pyramid will be 2 since, the length of side of its square base measures 5.6 feet which is one significant figure less than that of its height which is 7.86 feet.

Since volume = area of base × height

volume = 5.6 × 5.6 × 7.86 ft³

So, the answer volume of the pyramid will have 2 significant figures.

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

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Item 4
Which expressions are equivalent to 1.3−4x−3.7 ?

Select all correct answers.


−0.6−4−x

−4(x+0.6)

−x−x−x−x−2.4

−4x−2.4

Answers

Answer:

b,c and d are the answers

Step-by-step explanation:k12

Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

So, the expressions equivalent to 1.3−4x−3.7 are:

Solve: 1.3−4x−3.7

1.3−4x−3.7- 2.4 - 4x

Now, calculate for - 2.4 - 4x:

(A) −0.6−4−x:

-4.6 - x ≠ - 2.4 - 4x

(B) −4(x+0.6)

- 2.4 - 4x = - 2.4 - 4x

(C) −x−x−x−x−2.4

- 2.4 - 4x = - 2.4 - 4x

(D) −4x−2.4

- 2.4 - 4x = - 2.4 - 4x

Therefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

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Correct question:
Which expressions are equivalent to 1.3−4x−3.7?

Select all correct answers.

(A) −0.6−4−x

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

What does an atomic number represent in an atom?

Question 3 options:

number of isotopes


number of protons


number of ions


number of neutrons

Answers

Answer:

Protons

Step-by-step explanation:

The Periodic Table is arranged according to the atomic number of an element which is based on the number of protons in the nucleus

answer question right or else

Answers

Answer:

60

Step-by-step explanation:

yes, it's a question

have a great day

the answer to your question is 60, i found this by taking 30/1 multiplied by 5/100

give the quadratic sequence 2,3,10,23,........
write down the next term of the sequence.​

Answers

Answer:

The next term of the sequence is 42

16 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN​

Answers

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again

f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)

Answers

Answer:

(f*g)(x) = 3x³+12x²-7x-28

Step-by-step explanation:

What (f*g)(x) means is that we multiply f(x) by g(x):

f(x) = x+4

g(x) = 3x²-7

(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28

Find x Please Help Thank You

Answers

uhhhhhhhhhhhhhhhhh i have no clue so sorry

What does it mean to “solve” the following equation for y.

Answers

Solve for 'y' means find the equation to get the value of y.

What are the three major responsibilities of the county sheriff? (Site 1)

Answers

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

Answer:

To become rich

Step-by-step explanation:

I'm rich so

find the next two terms of this sequence.please help.

Answers

Answer:

12, 3

Step-by-step explanation:

i think so but you could wait for another answer but im not sure of my own

Answer: 28 and 20

Step-by-step explanation:

52 - 44 = 8

44 - 36 = 8

36 - [tex]x_{1}[/tex] = 8

[tex]x_{1}[/tex] = 28

28 - [tex]x_{2}[/tex] = 8

[tex]x_{2}[/tex] = 20

please give me a brainliest answer

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