Suppose Lindsay’s mom invests $10,000, part at 3%, and the rest at 2.5%, in interest-bearing accounts.-10,00007.5 The totally yearly investment income (interest) is $283. How much did Lindsay’s mom invest at each rate?

Answers

Answer 1

Answer:

she invested 6600 at 3% and 3400 at 2.5%

Step-by-step explanation:

Simple interest = amount deposited x time x interest rate

Let the amount deposited in in the account bearing 3% interest by represented with a

Let the amount deposited in in the account bearing 2.5% interest by represented with (10,000 - a)

a x 0.03 + (10,000 - a) x 0.025 = 283

0.03a + 250 - 0,025a = 283

collect like terms

0.03a - 0.025a = 283 - 250

0.005a = 33

a = 6600

the amount deposited in the 2.5% account = 1000 - 6600 = 3400


Related Questions

25 km
7 km
18 km
24 km
Find the area!!

Answers

Answer:

75600k^4 m^4 Hope that help !

Step-by-step explanation:

1. Take out the constants (25×7×18×24) kkkkmmmm

2. Simplify 25×7=175 (175×18×24)kkkkmmmm

3. Simplify 175×18=3150 (3150×24)kkkkmmmm

4. 3150×24= 75600kkkkmmmm

5. The answer would be 75600k^4 m^4

alguien que me ayude en esta ​

Answers

Answer:

[tex]a) 9x +18y \geq 0 \\9x \geq -18y \\x\geq -2y \\\sqrt {9(x+2y)}\\ 3\sqrt {x+2y} \\[/tex]

[tex]b) 3 \sqrt[3]{3*5^3a^9a} b^9 \\15a^3b^9 \sqrt[3]{3a}[/tex]

[tex]c)a\geq 0 \\1/2 \sqrt{2^2*3^2*3a^4a}b^9 \\1/2*2*3a^2\sqrt{3a}b^9 \\3a^2b^9 \sqrt{3a}[/tex]

[tex]d)mp\geq 0 \\3/5 \sqrt{5^2*5mn^6p^6p} \\3|n^3|p^3 \sqrt{5mp}[/tex]

[tex]e) n>0 \\6m 1/\sqrt{2^2*2n^4n} \\3|m|/n^2 1/\sqrt{2n}[/tex]

[tex]f) b\neq 0 \\a\neq 0 \\15/2 \sqrt[3]{x^2/2^3*2a^2b^3b} \\15/(4b) \sqrt[3]{x^2/2a^2b}[/tex]

I need help with arc measure please help I beg of you

Answers

i think it’s 93 cause it’s a central angle and then the measure is the same thing. not sure tho

Polly has 2 1/2 cups of cereal. How many 3/4 cup full servings can she make? Will she have any cereal left?

Answers

Answer:

She can make 3 cups of it with 1/3 of a cup leftover.

Step-by-step explanation:

2 1/2 = 5/2

5/2 ÷ 3/4

5/2 · 4/3

10/3

3.33

If x is the price of an item and it is marked 20 % off during the sale, what is the sale price?

Answers

Answer:

The sale price is 80% of x or x*0.8.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?

A. 3
B. 5
C. 5v2
D. 10​

Answers

Answer:

B.   5

Step-by-step explanation:

Let x = length of shorter leg

longer leg = [tex]\sqrt{3}[/tex] times the shorter leg

5[tex]\sqrt{3}[/tex] = x[tex]\sqrt{3}[/tex]

x = 5

NEED HELP ASAP
Determine the roots of the equation by factoring. Write your answer in set notation.

Answers

Answer:

x=1÷4/x= -1÷4

Step-by-step explanation:

Factorise the equation and determine the value of x

10% of ___ =5 ples help

Answers

Answer:

50

Step-by-step explanation:

What is 2(12)3/2 in its simplest form

Answers

Answer:

Hi! The answer to your question is 36

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Hey there!

2(12)3/2

= 2(12)(3/2)

= 24(3/2)

= 24/1 * 3/2

= 24(3) / 1(2)

= 24 + 24 + 24 / 1 + 1

= 48 + 24 / 2

= 72 / 2

= 72 ÷ 2 / 2 ÷ 2

= 36 / 1


= 36 ÷ 1


= 36

Therefore, your answer is: 36

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?

Answers

Answer:

9000

Step-by-step explanation:

9+648o30p

Answer:

1000

Step-by-step explanation:

it may not be right but i tried

please help me!! 8th grade math, Pythagorean Theorem

Answers

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

Target is having a 30% off sale on all bikes. What is the sale price of a bike that regularly costs $285?

Answers

Answer:

199.50

Step-by-step explanation:

285×(1-0.30)=199.50

HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.

The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.

The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.

Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answers

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

A pediatrician records the age (in months) and the height (in inches) of a baby over time and creates a scatter plot. Using the scatter plot, the pediatrician determines that the model that can be used to predict the baby's height is y=1.3x+18, where y is the height of the baby and x is the age of the baby. What does the 18 in the equation tell us? Need help plz i will make you the brilliants

A
The baby grows 1.8 inches per year.

B
The baby weighs 18 pounds when born.

C
The baby was 18 inches when born.

D
The baby grows 18 inches per year.

Answers

Answer:

Your answer would be C

Step-by-step explanation:

18 inches was the height of the baby when they were born since it isn't y which would be the current height of the baby now in months that tells me months have passed which includes x is the age of the baby in months.

Place the correct symbol in the space provided: 1/2 ___ 3/8
>
<
=

Answers

Answer:

1/2 > 3/8

Step-by-step explanation:

To compare the answers, we need to change them to the same denominator.

2x4=8

So we can create an equivent fraction of 1/2 by dividing both numbers by 4:

1x4=4

2x4=8

1/4=4/8

Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.

Hope this helped!

1) a) What are perpendicular lines and parallel lines

Answers

Perpendicular lines are lines that intersect and parallel line are lines that are parallel to each-other and never intersect

Answer:

the property of being perpendicular is the relationship between two lines which meet at a right angle.

parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel.

The diameter of the circle shown below is
11.5 inches.
11.5 inches
What is the radius of the circle?
A. 5.75
B. 11.5
C. 23
D. 34.5

Answers

Answer:

A. 5.75

Step-by-step explanation:

11.5/2 = 5.75

A dog is leashed to a point in the center of a large yard, so the area the dog is able of to explore is circular. The leash is 20 feet long (radius). What is the area of the region the dog is able to explore?

Answers

the formula for area is A=pi r^2 so you plug it in A=pi 20^2 = 1256.63 yd^2

What is the value of the expression {(23+7^2)}{2^{2}}

Answers

I t's a nd ur behaving this way caz 27th to you mind if u can get 8826th to use it's

Answer:

288

Step-by-step explanation:

{(23 + 7^2)(2^2)

{(23+49)(4)}

(23 x 4) + (49 x 4)

92 + 196

288

What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK

Answers

Answer:

z=7

Step-by-step explanation:

3z+5=4z-2

5=4z-2-3z

5=z-2

5+2=z

7=z

z=7

What is the length of BC? Round to the nearest tenth

Answers

Answer:

9.9

use the special triangle formula or use cosine to find BC

Which of the following is a factor of 21? 0 5 7​

Answers

Its 7 because 0 aint really an option and counting up my 5s, there is no 21 and if you count up by 7s u get 21. Hope this helps

Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =

Answers

Answer: it’s c

Step-by-step explanation:

Just took it and it’s correct

The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) = x²

Let the second function be g ( x )

Now , the vertex of the function is at A ( -4 , -3  )

When the function is shifted left by 4 units and down by 3 units , we get

g ( x ) = ( x + 4 )² - 3

Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ7

Which of the following could be the number shown on the number line?

Answers

Answer:

I believe your answer would be C. square root of 67

Step-by-step explanation:

If 8 is the square root of 64 and the missing number is just over 8, square root of 72 would be too much and A. and D. would be too little. I do deeply apologize if this is incorrect.

What solid figure has two bases, but no lateral faces?

A.cone
B.cylinder
C.rectangular prism
D.triangular prism

Answers

Answer:

B - Cylinder

Step-by-step explanation:

It has 2 bases (one on top and one at the bottom)

And It has no lateral faces

Answer: cylinder

Step-by-step explanation:

hope this helps

PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!

Answers

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

Denise bought 12 slices of cheese at he deli. The total weight of cheese she bought was 1/4 pound What is the weight of each slice of cheese?

Answers

1/3 ounce - 1/4 pound is 4 ounces and then you just divide by 12, resulting in .3333333333 or in other words, 1/3

What is the slope of the line given by the equation below? y + 2 = -3(x - 5)​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The expression (n^14)(n^3) is equivalent to n^x
What is the value of x

Answers

Answer:

17

Step-by-step explanation:

add the exponents

Your answer is 17 have a good day

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

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