you invested 5000 between two accounts paying 3% and 7% annual intrest. If the total intrst earned for the year was $310, how much was invested at each rate?

Answers

Answer 1

Answer:

The total interest of $320 will be the sum of the amount earned in each account.

Step-by-step explanation:

320 = x(0.04)(1) + (5000-x)(0.08)(1)

320 = 0.04x + 400 - 0.08x

-80 = -0.04x

2000 = x

5000 - x = 3000

$2,000 was invested at 4%

$3,000 was invested at 8%


Related Questions

which expressions are equivalent to (5g+3h+4) . 2

Answers

Answer:

2(5g+3h+4)

10g+6h+8

Please that is the answer

whicth inequality is true for X=20

Answers

Answer:

x+30 <3x

x divided by 4 < x - 12

2x < x + 22

can someone ans it correctly plz​

Answers

Answer:

It's BGH or the 4th option

Step-by-step explanation:

This is because they aren't adjoined

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $11.72 per hour by the store. In the evening she works at a restaurant as a manager for 6 hours and is paid $8.96 per hour. How much does she make on average per hour for the day?

Answers

Answer:

$10.44

Step-by-step explanation:

Day - 7 hours

one hour - $11.72

7 hrs = (7 × $11.72)

Total per day = $82.04

Evening- 6 hours

1 hour- $8.96

6 hours =(6 × $8.96)

= $53.76

Average = total amount of money ÷ total amount of hours worked

= ($82.04 + $53.76) ÷ ( 7 + 6 )

= 135.8 ÷ 13

= $10.44

if x is a rational number and y=2/3, which statement describess the sum of x and y?

Answers

Answer:

The answer is: The sum of x and y is a rational number.

Step-by-step explanation:

x is a rational number (any).

[tex]\frac{2}{3}[/tex] is a rational number too.

So, the sum of x and y will also be a rational number.

А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score​

Answers

Answer:

24.54°

Step-by-step explanation:

The three segments make a triangle with sides 6, 7 and 12 m.

We need to find the angle opposite to side 7 m.

Use the low of cosines to work out the angle x:

cos x = (6² + 12² - 7²)/(2*6*12)cos x = 0.9097x = arccos (0.9097)x = 24.54° (rounded)

Please help me Find the value of x

Answers

Answer:

sorry man i don't know that if i know that i could really help you......

Step-by-step explanation:

i wish i could help

HELP ME PLLEEAASEEE:(((

Answers

Answer:

meets at a 90° in the following question.

Find the center of a circle with the equation: x2+y2−4x+2y−11=0 x 2 + y 2 − 4 x + 2 y − 11 = 0

Answers

Answer:

( 2, - 1 )

Step-by-step explanation:

( x - h )² + ( y - k )² = r²

( h, k ) are coordinates of the center of a circle with radius r

~~~~~~~~~

x² + y² - 4x + 2y - 11 = 0

( x² - 4x + 4 ) - 4 + ( y² + 2y  + 1 ) - 1 - 11 = 0

( x - 2 )² + ( y + 1 )² = 4²

Coordinates of the center of a circle are ( 2, - 1 )

nilai x yang memenuhi |3x + 7| > 2 adalah....​

Answers

Answer:

|3x+7|>2 =5/3 x yang memenuhi

help! i need this turned in quick because it's late!!

Answers

The Process with answer. Hope it helps

PLS HELP THIS IS WITH THE HELP OF SQAURES

Answers

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

can anyone help me please​

Answers

Answer:

fig.1 No, fig.2

Step-by-step explanation:

fig.1 is no because "a" has more than one output therefore it's not a function.

fig. 2 is yes because "a,b,c,d" have different outputs but not more than one

try the rest by yourself. have a good day and remember don't get stressed over the little things

Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is

Answers

Answer:

x=1

Step-by-step explanation:

Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1

The equation of the vertical line in slope-intercept form is: x = 1.

What is the Equation of a Vertical Line?

A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..

Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.

Learn more about equation of a vertical line on:

https://brainly.com/question/9050446

#SPJ6

Find the x-intercept and y-intercept of the line.
4x+5y= -20

Answers

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

Shevonia wants to decrease her energy bill by 189. If her
electric bill is currently $348 a month, what will her bill be
if she is successful?

Answers

Answer:

$159

Step-by-step explanation:

$348-189

=$159

Jacob has 96 books to stick on library shelves. Each shelf can hold 9 books. How many shelves will he need to stack all the books?

Answers

Answer:

11 shelves

Step-by-step explanation:

What do i have to do?

Answers

Answer:

It is 136

Step-by-step explanation:

[tex]h + {k}^{2} - j[/tex]

substitute respectively as in question:

[tex] = 3 + {(11)}^{2} - ( - 12)[/tex]

open brackets:

[tex] = 3 + 121 + 12 \\ = 136[/tex]

Answer:

136

Step-by-step explanation:

Given

h + k² - j ( substitute the given values into the expression ) , that is

3 + 11² - (- 12)

= 3 + 121 + 12

= 136

What is an Equation that m=2

Answers

Answer:

5+5m=15

Step-by-step explanation:

y=2x+c

m=slope
Straight line

Anyone know the answers 11 through 14?Please help me.I’m tired

Answers

Answer:

11. [tex]x^{5}[/tex]

12. 5*[tex]x^{2}[/tex]

13. x+21

14. 2x-8

Step-by-step explanation:

In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of this car travels approximately 150 miles per week. How much money is this person spending on gas per week? Show work

Answers

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

Solve for p in terms of q,r,s and t

Answers

Answer:

is there by chance a photo reference?

5(2x + 5y) - 4y + 10x
How can I solve this?

Answers

Answer:

20x+35y

Step-by-step explanation:

5(2x + 5y) - 4y + 10x

distribute

10x + 25y - 4y + 10x

add like terms

20x+21y

I would say 20x -21y

v/6 > 11
solve for the inequallity
please will mark brainliest

Answers

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

What is the value of p in the followingWhat is the value of p in the following division problem?
7/8 ÷ p = 1 11/24

Answers

Answer:

p=3/5

Step-by-step explanation:

steps are in the picture.

If you need to ask question about it ,i shall gladly give your answer.

Some pls help me with this question

Answers

can this help you to solve it?

if your shoe size is out of stock should you size up or down i’m a girl please help

Answers

i go up by like 1/2!!?!
I would go up about 1/2 size, because depending on your age, if your feet grow, then it’ll work out great.

I would assume, I dont think women’s shoes are too different from men’s.

Segments with the lengths of 6, 8, and 10 units will form what type of triangle?

Select the best answer from the choices provided.
A. right
B.isosceles
C. equilateral
D. They do not form a triangle.

Answers

Answer:

right

Step-by-step explanation:

use pathagorus theorem and we will get right angled triangle

2. What value of x makes the equation 4 - 3x = 19 true?

Answers

Answer:

x = -5

Step-by-step explanation:

If you want the value of x and it should be true we first need to find the value of x

4 - 3x = 19

-3x = 19 - 4

-3x = 15

x = 15/-3

x = -5

Two dice are rolled. A = ‘sum of two dice equals 3’ B=‘sumoftwodiceequals7’ C=‘at
least one of the dice shows a 1’ (a) What is P (A|C)?
(b) What is P (B|C)?
(c) Are A and C independent? What about B and C?

Answers

Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.

We have

• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)

• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)

(a) By definition of conditional probability,

P(A | C) = P(A and C) / P(C)

A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately

P(A and C) = P(A)

so that

P(A | C) = (1/18) / (1/3) = 3/18 = 1/6

(b) From the definition,

P(B | C) = P(B and C) / P(C)

By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so

P(B and C) = (2/36) / (1/3) = 6/36 = 1/6

(c) In order for two events X and Y to be independent, we need to have

P(X and Y) = P(X) P(Y)

or in terms of conditional probability,

P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)

Then it follows that A and C are not independent, while B and C are independent.

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