Mary has $65,000 to invest into two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3,520 in total interest.

Answers

Answer 1

Answer:

Step-by-step explanation:

Formula for calculating interest is expressed as;

I = PRT/100

P is principal

R is the rate

T is the time

For first account

I = P(1)(6)/100

I1 = 0.06P1

For the second bank!

I2 =>P2(1)(4)/100

I2 = 0.04P2

If the total interest is $3520, then

I1+I2 = 3520

0.06P1+0.04P2 = 3520.... 1

If the Amount invested = $65000

P1+P2 =65000..... 2

Solve. 1 and 2 simultaneously

Eqn 2 × 0.06

0.06P1+0.06P2 = 3900.... 3

Subtract 1 from 3;

0.04P2-0.06P2 = 3520-3900

-0.02P2 = -380

P2 = 380/0.02

P2 = $19000

Get p1;

P1 = 65000-P2

P1 = 65000-19000

P1 = $46000

Hence $46000 was invested in the first account and $19000 in the second


Related Questions

How would you write 8 TIMES A NUMBER as an algebraic expression ?

Answers

Answer:

8x

Step-by-step explanation:

8= the times multiply and "x" being the # being multiply

Answer:

8x - y

Step-by-step explanation:

8 times a number (x) is 8 times x = 8x

decreasing by y means take away y...  but u should know that right?

lol hope this helps :)

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classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinitely many solutions.

Answers

The equation has one solution.


6(x+2)=5(x+7)
6x+12=5x+35
6x+12-5x=35
6x-5x=35-12
x=23
Therefore, the equation has ONE solution.

The equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation as -

6x + 12 = 5x + 35

Assume that -

6x + 12 = 5x + 35 = y

y = 6x + 12

y = 5x + 35

Graph the equations. The points of intersection would be the solutions.

Therefore, the equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)

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ugrent plsss i will mark branislestt plss answer this​

Answers

Answer:

Rs. 440

Explanation:

Tax= 400/100×10%

= Rs. 40

Total amount= 400+40

= Rs. 440

Answer:

cost is 400

Step-by-step explanation:

10/100×40

=10×4

=40

now total amount =400+40

=440

What is the measures of Angle TVX?
40°
U
V

oc
130 Degrees
115 Degrees
125 Degrees
120 Degrees

Answers

90 plus 40 is 130
180-130 is 50.
180-50 is 130.
So 130°

A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a
prime number?

Answers

Answer:

Step-by-step explanation:

Total outcome is

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100

Favorable outcome is

3 + 6 + 11 + 16 + 5 = 41

The percent probability is

41 / 100 = 41 %

There are 4 triangles and 20 squares what is the simplest ratio of triangles to squares

Answers

1:5 triangles to square

A contractor charges $50 for a service call
plus $60 per hour for his work. How long will
he have to work to earn $350?

Answers

Answer:

5 5/6 hours

Step-by-step explanation:

Answer:

5 5/6 hours

Step-by-step explanation:

Which representation does not show y as a function of x?

Answers

Answer:

The letter j because the points have to be functioned as a straight line

I need this ASAP! It is due today.

Answers

Answer:

A

Step-by-step explanation:

First expand the 3 and get 7x + 3x - 6 - 4x + 8

All them altogether

7x + 3x = 10x - 4x = 6x

-6 + 8 = 2

Plug in the equation and we get 6x + 2

factor the expression 6x+18y-54 . Use the GCF to help you factor the expressions

Answers

Answer:

6(x+3y-9)

Step-by-step explanation:

GCF is 6

Answer:

Step-by-step explanation:

6x+18y-54=

6 is the GCF

6(x+3y-9)

ill give you brainleiesr i cant spell hurry on toimerTen members of Balin’s soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below.

StartFraction 5 Over 6 EndFraction divided by 10

Which expression is equivalent to Balin’s expression?
StartFraction 10 Over 12 EndFraction divided by 10
StartFraction 10 Over 6 EndFraction divided by 5
StartFraction 6 Over 5 EndFraction times 10
StartFraction 5 Over 6 EndFraction times 10

Answers

Answer:

A

Step-by-step explanation:

The answer is a trust me man ik ur timed so no time for xplains

A recipe for sparkling lemonade calls for 4 tablespoons of lemonade mix and 12 cups of sparkling water. Find how many tablespoons of lemonade mix it takes per cup of sparkling water.​

Answers

12/4 = 3
3 tablespoons per cup

The ratio of lemonade and sparkling water is 1:3.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Number of tablespoons of lemonade = 4,

And number of cups of sparkling water = 12.

To find tablespoons of lemonade pr cup of sparkling water,

Use ratio property,

= 4:12

=1:3

Therefore, 1 tablespoon of lemonade takes 3 cups of sparkling water.

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1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)







(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)

Answers

Answer:

a) $3000

b) $1500

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 4

interest = 3000

b)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 2

interest = 1500

you save $1500 if you pay after 2 years

John bought 8 bottles of 1.5 liters of coke and 7 bottles of 2 liters of juice for his birthday party. How many more liters of juice than coke did he buy?

Answers

Answer:

2 more liters of juice

Step-by-step explanation:

John bought a total of 12 liters of coke and a total of 14 liters of juice.

As a result, 14 - 12 = 2

He bought two more liters of juice than coke!

Hope this helps! Smiles and hugs,

SlytherinWolf

P.S. I hope your day gets better, you totally deserve it. ☺

Answer:

2 Liters

Step-by-step explanation:

1. Multiply 1.5 times 8.

1.5 x 8 = 12 L

2. Multiply  7 times 2.

7 x 2 = 14 L

3. Subtract the amount of coke from the amount of juice.

14 - 12 = 2 L

2 LITERS MORE

hope this helps, let me know if you have any questions! <3

Don't answer if u don't know or I will report ,.,.43/2*487

Answers

Answer:

10470.5

Step-by-step explanation:

10470.5. from my aunt

Find the slope of a line parallel to each given line

Answers

Answer:
13. -2
14. -2/5
15. 7/4
16. -5/4

Parker offers to pay for 5 of his friends to play laser tag,
but 3 of them don't want
to play.
If laser tag costs $6 per person, how much will Parker spend on his friends?
Choose the correct expression and solution to this problem.
O A. The expression is 5(6 - 3).

Answers

Answer:

12(18-6)

Step-by-step explanation:

Answer:$12 — 6(5-3)

Step-by-step explanation:

It’s pretty straight forward. We know that he only needs to pay for 2 of his 5 friends (5-3). Then it costs $6 per person, and there are two people. 6x2=$12

It cost $36.75 for 3 tickets to visit science center. How much dose it cost for 1

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Answer: 12.25 dollars

Step-by-step explanation:

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3 + 4

Step-by-step explanation:

4/3 comes from using rise over run. 4 comes from the y-intercept.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 4

Step-by-step explanation:

y = mx + b

m = [tex]\frac{rise}{run}[/tex] ; "b" is y-intercept

~~~~~~~~~~~

m = [tex]\frac{4}{3}[/tex] and b = 4

y = [tex]\frac{4}{3}[/tex] x + 4

What is the y-intercept from the following ordered pairs? (-2,0)(0,4)(2,8)(4,12)

Answers

Answer:   y intercept = 4

The y intercept always occurs when x = 0. This is the location where the graph crosses the y axis. From the list of points, we see that (0,4) is the location of the y intercept. We can say the y intercept is 4.

what is the best way to study maths ?​

Answers

Answer:

study it

Step-by-step explanation:

study it

•study it
•review the thing you already learned in class so you won’t forget it
•solve problems
Have a math magical weekend! :)

Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?

Answers

Answer:

The two numbers are 40 and 3

Step-by-step explanation:

Assume that the first number is x and the second number is y

Four tenths = [tex]\frac{4}{10}[/tex] = 0.4

One tenth = [tex]\frac{1}{10}[/tex] = 0.1

∵ Four tenths of 1st number increased by the 2nd number equals 19

∵ The 1st number = x and the 2nd number = y

0.4x + y = 19 ⇒ (1)

∵ One tenth of the 1st number decreased by the 2nd number is equal to 1

0.1x - y = 1 ⇒ (2)

Now we have a system of equations to solve it

→ Add equations (1) and (2) to eliminate y

(0.4x + 0.1x) + (y + -y) = (19 + 1)

∴ 0.5x + 0 = 20

∴ 0.5x = 20

→ Divide both sides by 0.5 to find x

∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]

x = 40

→ Substitute the value of x in equation (1) or (2) to find y

0.4(40) + y = 19

∴ 16 + y = 19

→ Subtract 16 from both sides

∴ 16 - 16 + y = 19 - 16

y = 3

The two numbers are 40 and 3

what is the decimal multiplier to decrease by 32%​

Answers

Answer:

0.68

Step-by-step explanation:

if e^xy−y^2=e−4, then at x = 1/2 and y = 2, dy/dx =

Answers

Answer:

dy/dx = -0.5285

Step-by-step explanation:

e^(xy) − y² = e^(−4)

To get dy/dx, we will differentiate with respect to x applying both chain rule and product rule.

Thus;

e^(xy)[d(xy)/dx] - (d/dx)y² = 0

e^(xy)[x(dy/dx) + y] - ((dy/dx) × (d(y²)/dy)) = 0

xe^(xy)[dy/dx] + ye^(xy) - 2y = 0

Thus, rearranging we have;

dy/dx = [2y -(ye^(xy))]/xe^(xy)

We are given;

x = 1/2 and y = 2

Thus;

dy/dx = [2(2) - (2e^(½ × 2))]/(1e^(½ × 2))

dy/dx = (4 - 5.4366)/2.7183

dy/dx = -0.5285

is -45 an integer? ​

Answers

Answer:

Yes

Step-by-step explanation:

An interger cannot have a fraction or decimal. It can be negative and positive.

Answer:

yes!

Step-by-step explanation:

An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Unlike floating point numbers, integers cannot have decimal places. Integers are a commonly used data type in computer programming.

the number -2 is a dolution to which of the following inequalities​

Answers

Answer:

Step-by-step explanation:

We need the choices please.

Determine the value of the variable in the product of powers. What is the value of x in the product of powers 55 · 5x = 52 ? x = What is the value of y in the product of p-3 · p-6 = py y = What is the value of n in th product of 92 · 9-7 · 9n = 9-5 = StartFraction 1 Over 9 Superscript 5 EndFraction? n =

Answers

Answer:

What is the value of x in the product of powers 55 · 5x = 52 ?

x = –3

What is the value of y in the product of p-3 · p-6 = py

y = –9

What is the value of n in th product of 92 · 9-7 · 9n  =  9-5 = [tex]\frac{1}{9^5} }[/tex]

n = 0

Hope this helps :D

The value of x in the product of powers is -3, the value of y is -9 and the value of n is 0.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

Given that,

5⁵ . 5ˣ = 5²

We have to use a multiplication rule for exponent here.

xᵃ . xᵇ = xᵃ⁺ᵇ

Using this,

5⁵⁺ˣ = 5²

⇒ 5 + x = 2

⇒ x = -3

p⁻³ . p⁻⁶ = p^y

Using the same rule of exponent,

p⁻³⁺⁻⁶ = p^y

⇒ y = -3 - 6 = -9

9² . 9⁻⁷ . 9ⁿ = 9⁻⁵

9²⁻⁷⁺ⁿ = 9⁻⁵

⇒ 2 - 7 + n = -5

⇒ n = 0

Hence the values of x, y and n are -3, -9 and 0 respectively.

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1)Re-write the sentence as a Conditional Statement: "Parallel lines have the same
slope."

2)Re-write the sentence as a Conditional Statement: "Acute angles have a
measure less than 90 degrees."

Answers

Answer:

1

Step-by-step explanation:

If AB is parallel to CD and are intersected by the transversal GH at points E and F respectively. If an
angle AEG = (3x + 5) and the other angle CFE = 95 find x? Also find the measure of each angle

Answers

Answer:

2

queen Other 3 xsl on 5 the 12 is under that making it a simplist form which would be b

Plz help
Which set of ordered pairs is NOT a function?

Answers

2 or more same inputs cannot have different outputs

A is not a function
Option A is not a function. The x-value in an ordered pair cannot repeat itself for a function to be present.
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