You invest $15,000 into two different accounts. One of the accounts has 4% interest and the other has 3.2% interest. After one year, you have accumulated a total of $545.60 in interest. How much was initially invested in the account with 4% interest?

Answers

Answer 1

Answer:

(4%) ... $8200

Step-by-step explanation:

x + y = 15000

.04x + .032y = 545.60

y = 15000 - x

.04x + .032(15000 - x) = 545.60

.008x = 65.6

x=8200

Answer 2

The cost a company pays a lender for a loan is called interest.

The account received an initial investment of 8200 with 4% interest.

What is meant by interest?

The cost of borrowing money is called interest, and it is typically expressed as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

The cost a company pays a lender (creditor) for a loan is called interest. Although many different arrangements are possible, interest payments are typically based on the remaining balance of a loan and paid on a monthly basis. At a predetermined interest rate, interest is typically calculated as a percentage of the loan balance.

From the given information, we get

x + y = 15000 ........(1)

0.04x + 0.032y = 545.60 ..........(2)

From (1),

y = 15000 - x

substitute the value of y in the above equation, we get

⇒ 0.04x + 0.032(15000 - x) = 545.60

simplifying the above equation, we get

⇒ 0.008x = 65.6

x = 8200

Therefore, 8200 was initially invested in the account with 4% interest.

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Related Questions

Please help me please please help ASAP

Answers

Step-by-step explanation:

70 + 45 = 115

180 - 115 = 65

angle c = 65

use sohcahtoa

cos angle = adjacent

hypotenuse

cos 65 = 2.5

b

b cos 65 = 2.5

use the calc for further answers

hope that helped

please help me with this on the image

Answers

Answer:

we will then have to also multiply the y with three so the answer is B and that's ( ×3)

3. A toy car is traveling with a velocity of 4 m/s and has a mass of 1120g. What is the car's
kinetic energy?

Answers

Kinetic Energy
=
1
2
m
v
2

=
1
2
1120

40
2
=
896000
J
=
8.96

10
5
J

if 10x=1/0.001 find the value of x​

Answers

[tex]\\ \sf\longmapsto 10x=\dfrac{1}{0.001}[/tex]

Turn over the decimal

[tex]\\ \sf\longmapsto 10x=\dfrac{1}{\dfrac{1}{1000}}[/tex]

[tex]\\ \sf\longmapsto 10x=1000[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{1000}{10}[/tex]

[tex]\\ \sf\longmapsto x=100[/tex]

How many ways can four marbles be chosen from a set of five marbles?

Answers

Answer:

120

Step-by-step explanation:

5x4x3x2x1=120

(x+7)(x-6) Find the product.ddddddddddddd

Answers

Answer:

x^2 + x - 42

Step-by-step explanation:

use the distributive property:

(x+7)(x-6) = x^2 + x - 42

Answer: x^2 + x - 42

Step-by-step explanation:

Write the point-slope form of an equation of the line through the points (-4, 7) and (5,-3).
0
A. Y+4= -1; (1 – 7)
B.Y-5 = = 10 (x+3)
OC. y +3 = = 10 (2+5)
D. y - 7= -5° (x+4)

Answers

Answer:

Step-by-step explanation:

There are two possible equations, but neither matches the the choices you listed. The choices seem to have several typographical errors.

Point-slope form of an equation of the line through the points (-4, 7) and (5,-3) is y - 7 =(-10/9)(x + 4).

How to estimate the point-slope form of an equation of the line through the points (-4, 7) and (5,-3)?

Slope

[tex]$= \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

= (-3 - 7) / (5 - (-4))

= -10/9

The point-slope equation for the line of slope -(10/9) that passes through the point (5, -3).

y + 3 = (-10/9)(x - 5)

Point slope equation for the line of slope -(10/9) that passes through the point (-4, 7)

Point-slope form of an equation of the line through the points (-4, 7) and (5,-3) is y - 7 = (-10/9)(x + 4).

Therefore, the correct answer is y - 7 = (-10/9)(x + 4).

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URGENT!! (Picture included)

Answers

Answer:

-85

Step-by-step explanation:

You can use calculator for this question

Express 5 cm in metre and kilometre.in decimals........................ ncert maths class 7 pls
will be marked as brainliest trust me ​

Answers

Answer:

Converting into metre (1m=100cm)= 5/100=0.05m.. Converting into km. (1km=100000cm). so 5 cm=5/100000=0.00005km.

Answer:

5cm in meters = 0.05 metre

5cm in kilometres = 0.00005km

What is the value of log,1252
PERE
3
5
Ο ΟΟΟ
15
Mark this and return
Save and Exit
Next

Answers

2 by 5 t get you 15k

Which expression is equivalent to square root 216x3y6z12?

Answers

Answer:

hello mateee ;)

Step-by-step explanation:

lets go step by step...

216 cub root = 6

x^3 cube root = 3/3 = power 1 = x

y^6 cube root = 6/3 = power 2 = y^2

z^12 cube root = 12/3 = power 4 = z^4

final ans becomes 6x y^2 z^4 hence option a is correct

glad for brainliest <3

Find the missing side length in the image below

Answers

Answer:

87.5

Step-by-step explanation:

Let the missing side be x.

28 / 35 = x / 50

4 / 7 = x / 50

4 ( x ) = 7 ( 50 )

4x = 350

x = 350 / 4

x = 87.5

You randomly select one card from a​ 52-card deck. Find the probability of selecting the 9 of spades or the 3 of clubs.

The probabilitiy is ___. ​
(Type an integer or a fraction. Simplify your​ answer.)

Answers

Answer:

2/52=1/26

Step-by-step explanation:

THE DISTANCE OF A PARTICLE FROM
IT'S STARTING POINT AT TIME T
SECONDS IS GIVEN BY S= 80T - 1672.

WHAT IS THE VELOCITY OF THE
PARTICLE AFTER 2 SECONDS?

Answers

Answer:

the answer will be 3.........

8. Find the area of the following triangle.
h=8m
b= 6.5

Answers

Answer:

26m^2

Step-by-step explanation:

Area of triangle=1/2b*h

We have,

b=6.5

h=8m

Now,

Area=1/2b*h=1/2*6.5*8=26m^2

26 step by step——->8x6.5/2 =26

This graph describes which of the expressions given?

Answers

The answer is c
Hope this helps!

1. On the set of axes below, graph . State the roots of

Answers

Is this question complete?

Determine whether the following relationship is a linear inequality or not

1. Y < 3

2. x ≥ 6

3. x² > -3

4. x -3 > 1/2

5. xy + 5 ≤ 7​

Answers

Answer:

What is a linear inequality ? A linear inequality has the same condition as a linear equality, but instead of the equal sign, we have for example this one ≤ wish means less than or equal to.

But what are the condition of a linear equality ? There are many ways of writing linear equations but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y") BUT the variables (x and y) on a linear equation do NOT have Exponents (like the 2 in x²) and square roots,

1. y < 3

Yes, this is a linear inequation. Frequently, the term linear equation refers implicitly to the case of just one variable (here y).

2. x ≥ 6

Yes.

3. x² > - 3

No, remember the rule the variable (here x) must not have exponents.

4. x - 3 > 1/2

Yes.

5. xy + 5 ≤ 7

This one is nice. If both x and y are variables then the answer is no, it's not a linear inequation. Why ?The linear equation is a sum of terms like "Ax" where x is a variable, and A is a number or a constant. On the other hand if x or y was a constant (like e or π), it could be treated as a number and the whole expression would become linear.

You can also have fun and write :

xy ≤ 2

for y > 0 we write:

x ≤ 2/y

x ≤ 2[tex]y^{-1}[/tex]

and then simply say exponents are not allowed so not a linear inequation.

Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =​

Answers

x-y-z

[tex]\\ \sf\longmapsto XY+YZ=XZ[/tex]

[tex]\\ \sf\longmapsto 7a+5a=6a+24[/tex]

[tex]\\ \sf\longmapsto 12a=6a+24[/tex]

[tex]\\ \sf\longmapsto 12a-6a=24[/tex]

[tex]\\ \sf\longmapsto 6a=24[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{24}{6}[/tex]

[tex]\\ \sf\longmapsto a=5[/tex]

YZ=5a=5(5)=25

Value of a is 4 and value of YZ is 20 units

Step-by-step explanation:

Given:

Y is between point X and Z

Value of line XY = 7a

Value of line YZ = 5a

Value of line XZ = 6a + 24

Find:

Value of "a" and line YZ

Computation:

We know that

XY + YZ = XZ

So,

7a + 5a = 6a + 24

12a = 6a + 24

6a = 24

a = 4

Value of a = 4

So,

Value of line YZ = 5a

By putting value of a

Value of line YZ = 5(4)

Value of line YZ = 20 units

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An Experiment to investigate the relation between two physical quantities was performed where 10 data pairs were collected. You are to perform regression analysis to describe the relation between the two quantities using a polynomial. What are the possible values for the order of that polynomial?
a) from 0 to 10
b) from 1 to 9
c) from 1 to 10
d) Any integer

Answers

Answer:

d). Any Integer.

Step-by-step explanation:

Regression analysis is characterized as the statistical method that is employed to determine the association between a dependent, as well as, the independent variable(one or more). It

As per the question, the probable values for the arrangement of a polynomial would be 'any integer' in order to determine the relationship among the different variables(the two physical quantities). Since a regression analysis helps in knowing the factors that influence the other and the factors that do not affect much in order to reach a reliable conclusion. Thus, any of the values can be examined to examine the association among them. Hence, option d is the correct answer.

You $12 for a day, and plan to spend your time feeding the Lorakeets. $2 per feed (f), and drinking ICEE's (I), $4 each. What is the equation for the total number f times you can feed the lorakeets and icees you can drink with your total amount of money you brought?

Answers

Answer: 85 i think

Step-by-step explanation:

Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.

  F = {-2, 3, 7}

  G = {-3, -1, 4, 7}

  F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set

The product has 6 distinct zeros.

_____

As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.

Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?​

Answers

Question:-

Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?

Answer:-

Money earned by Ellen per hour = $20.

Number of hours she works per day = 8 hours.

Money she'll make per day = 20×8 = 160

Hence, the answer is $160.

Suppose a professional baseball player hit 55 home runs his first season, 58 his second,
and 69 his third. How many home runs would he need to hit in the current season so that
his average for the 4 years is no less than 59?

Answers

Answer:

About 54

Step-by-step explanation:

To work backwards from average, you need to multiply the average by the total number of cases, which is 4, since there are 3 current cases/seasons and you want the 4th.

59 * 4 =  236

You then subtract the total home runs that you know of from 236.

236 - 55 - 58 - 69 = 54

To find average, you are adding to the total and then dividing by the number of groups, which is essentially mean (mean is basically the average).

You are playing a version of the roulette game, wherethe pockets arefrom 0 to 12 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 17 given on thefirst spin youspin a 2

Answers

Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.

-------------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.Since you spin a 2 on the first trial, the probability desired is equivalent to the probability of finding a sum of 15 in the next two trials.

-------------------------------------

In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:

[tex]T = 13^2 = 169[/tex]

-------------------------------------

The desired outcomes are those who result in a sum of 15. Thus, they are:

(3,12), (4,11), (5,10), (6,9), (7,8), (8,7), (9,7), (10,5), (11,4), (12,3).That is, 10 desired outcomes, so [tex]D = 10[/tex].

-------------------------------------

Thus, the probability is:

[tex]p = \frac{D}{T} = \frac{10}{169} = 0.0592[/tex]

0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.

A similar problem is given at https://brainly.com/question/21444373

Trên tập hợp số thực cho quan hệ tương đương T như sau: m, n : mTn ⇔ m^3-n^3= m-n . Tìm lớp tương đương của 0 và lớp tương đương của 2021

Answers

Answer:

where are u from bro?

Step-by-step explanation:

I didn't understand your language.

Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separated list.)
e1 − 3x = e4x − 3
x=_______

Answers

Answer:

Hello,

Very bad written!!!

Step-by-step explanation:

[tex]e^{1-3x}=e^{4x-3}\\\\1-3x=4x-3\\\\7x=4\\\\\boxed{x=\dfrac{4}{7} }\\[/tex]

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and each is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"

Answers

Answer:

A. 200 square inches

Step-by-step explanation:

First, use Pythagorean Theorem to find the base of each triangle.

[tex]a^2+b^2=c^2\\20^2+b^2=(28\frac{1}{4})^2\\400+b^2=798.0625\\b^2=398.0625\\b=\sqrt{398.0625}\\b=19.9515037[/tex]

Finally, use the area of a triangle formula to find the area of each triangle.

[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(19.9515037)(20)\\A=199.515037[/tex]

Therefore, the area of each triangle is approximately 200 in².

The area of each triangle in square inches is 200 square inches.

What is the area of triangle?

The area of triangle is defined as the region enclosed by its perimeter or the three sides of triangle.

Mathematically,

Area of triangle = 1/2(base*height)

Now given that,

Base of the triangle, B = 20''

Hypotenuse of the triangle, H = 28(1/4)'' = 28.25''

So, Height of the triangle, P = [tex]\sqrt{H^2 - B^2}[/tex]

or,  Height of the triangle, P = [tex]\sqrt{28.25^2 - 20^2}[/tex]

or,  Height of the triangle, P = [tex]\sqrt{398.0625} }[/tex]

or,  Height of the triangle, P = 19.95 inches

Finally, use the area of a triangle formula to find the area of each triangle.

Area of triangle = 1/2*(BasexHeight)

Area of triangle = 1/2*(20x19.95)

Area of triangle = 1/2*399

Area of triangle = 199.5 square inches

or, Area of triangle ≈ 200 square inches.

Hence, The area of each triangle in square inches is 200 square inches.

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1106.666667 To the nearest whole number

Answers

Answer:

1107.

You are rounding up because the number in the tenths slot is over 5.

look at the image for the question

Answers

Answer:

3166.7

Step-by-step explanation:

V = πr²h

V = π * (12 km)² * 7 km

V ≈ 3166.7 km³

Hey there!

First, let's review the formula for finding a cylinder's volume.

Formula: [tex]\pi r^2h[/tex]

Our new equation would look like this: [tex]\pi[/tex] x [tex]12^{2}[/tex] x 7.

The original answer would be 3166.72539482, but the question states that it want it rounded to the nearest tenth. So, your answer would be 3166.7.

Hope this helps! Have a great day!

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