Michelle has money in two savings accounts. One rate is 6%

and the other is 14%
. If she has $900
$

900
more in the 14%

account and the total interest is $209

, how much is invested in each savings account?

Answers

Answer 1

Answer:

$415 at 6% and $1315 at 14%

Step-by-step explanation:

She has x amount at 6%.

She has y amount at 14%.

y = x + 900

0.06x + 0.14y = 209

Since the first equation is already solved for y, we use the substitution method. Substitute x + 900 for y in the second equation and solve for x.

0.06x + 0.14(x + 900) = 209

0.06x + 0.14x + 126 = 209

0.2x = 83

x = 415

y = x + 900

y = 415 + 900

y = 1315

Answer: $415 at 6% and $1315 at 14%


Related Questions

Question 7 of 10
Which statement best describes an example of a short-term investment
strategy?
A. Mariam buys an IRA that she can't withdraw from without penalty
until she's 59.5.
B. Mariam invests $4,000 in a mutual fund to create a new income
stream.
O C. Mariam buys a certificate of deposit to set aside money for a
down payment on a car.
D. Mariam buys 100 shares of stock in a proven company known for
solid, dependable performance over time.
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

Its not A  because she can't withdraw it for however many years.

Its not B because creating a new income stream is a long term investment.

Its not D because it says she buys stock of a long-term performing company

list the samples in order from least to greastest mass.

0.130 0.301 0.31 0.013

Answers

Answer: .013, .130, .301, .31

Step-by-step explanation:

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8

Answers

Answer:

[tex]y = 4x - 5[/tex]

Step-by-step explanation:

rewrite the equation

[tex]x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2[/tex]

perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept

[tex]3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5[/tex]

Question 1:
Write the specific equation for the kinetic energy E (measured
in Joules) of an 1100-kg car. Use this equation to compare the kinetic
energy of an 1100-kg car moving at a velocity of 10 meters per second to
the kinetic energy of the same car moving at 3 times the velocity.

Answers

Answer:

Step-by-step explanation:

KE = ½mv²

KE₁₀ = ½(1100)10² = 55000 = 55 kJ

KE₃₀ = ½(1100)30² = 495000 = 495 kJ

9 times greater

Hiii, What is the volume of the figure?

Answers

1490
If you split the composite shape into two different shapes, you write down the formula: length x width x height, you get (22 x 13 x 5) + (6 x 5 x 2). Once you solve that, you get the answer of 1490.
17160
Well my opinion might be different, I’m here to help understand what I think about it. I think it’s 17160 because of volume they mean by multiplying all numbers (6x2x5x13x22)= 17160.

Which angles are corresponding angles?

Answers

Answer:

OPN and QPS are corresponding angles

< OPN and < RSP are corresponding angles.


Corresponding angles are two angles that are on the same side of the transversal, one an interior angle (between the lines), the other an exterior angle that were not adjacent.

< OPN is the exterior angle, and < RSP is the interior angle.

a rectangular prism has a length of 7.5m a height of 5m, and a volume of 225m³?
which steps are correct to find the width of prism? check all that apply.​

Answers

Answer:

I'm too lazy to use a calculator but I'll explain the steps to you

Step-by-step explanation:

so basically all you have to do is you know that

volume=length*with*height

we already have the length and height

so do 7.5*5 on your calculator for me

and then divide that answer by 225

and then you will get your answer

excuse me for being lazy but at least I gave you your answer it's 4 am here

at a baseball game, adult tickets cost $15 and children’s tickets cost $8. Twice as many children attended as adults, and the total ticket sales were $2480. How many people attended the game? Explain how you got your answer.

Answers

15+8+8=31 (3 tickets)
2480/31= 80
answer: 80 people attended the game

HII i really need help

Answers

Answer:

when in doubt choose c

Step-by-step explanation:

Answer: 11/48 cubic feet

Step-by-step explanation:

alright ill try my best to explain

so you use the formula V = 22/21r^2h

where V is volume

r is radius

and h is height of cone

you simply plug in the values given in the question, so

V=22/21*1/2^2*7/8

so the answer would be 11/48 cubic feet

yall what is this? I dont really know what to do

Answers

Answer:

you did it right

Step-by-step explanation:

Tbh you were actually correct

ei
Extend geometric sequences
You might need: Calculator
What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro

Answers

Answer:

2

Step-by-step explanation:

Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.

Dan ate 6/7 of a Snickers, Ariel ate 3/4 of a similar Snicker, who ate the most? (Write the name in the blank)

Answers

Answer:

dan

Step-by-step explanation:

to find out which person ate more, you have to convert the fractions into ones with the same denominator, or bottom number

the lcf (least common factor) of 7 and 4 is 28

6/7 * 4/4 = 24/28

3/4 * 7/7 = 21/28

using these numbers we can tell that dan ate more

Marc edits a video he took in class. He cuts 9 seconds from the start. Then he cuts 3 seconds from the end. The clip is 5 seconds long. What was the starting length of the video?

Answers

Answer:

17 seconds

Step-by-step explanation:

17 seconds was how long it was

Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?

Answers

Answer:

$106

Step-by-step explanation:

So, this is what we know:

$6 per vehicle (1 bus) + $2 per person (50 people)

Here is the solution:

= $6 + $100

= $106

The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3

, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.

(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.

Answers

Answer:

The initial speed of the ball is  98.22 ft/s

The maximum height of the ball is 75.02 ft.

Step-by-step explanation:

Hi there!

Step-by-step explanation:

The position and velocity vectors of the ball can be calcualted as follows:

r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)

v = (v0 · cos α , v0 · sin α + g · t)

Where:

r = position vector at time t.

x0 = initial horizontal position.

v0 = initial velocity.

t = time.

α = launching angle.

y0 = initial vertical position.

g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).

v = velocity vector at time t.

Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:

x = 300 feet

y = 0

Then, r final = (300 feet, 0)

Notice that the origin of the frame of reference is located at the launching point.

Then, when the ball is caught:

300 feet = x0 + v0 · t · cos α

0 = y0 + v0 · t · sin α + 1/2 · g · t²

We have a system of two equations with two unknowns (t and v0), so, let´s solve it.

Let´s solve the first eqation for v0:

300 feet = x0 + v0 · t · cos α

Since the frame of reference is located at the launching point (x0 = 0). Then:

300 feet = v0 · t · cos 45°

300 feet /( t · cos 45°) = v0

Now, let´s replace v0 in the secod equation of the system:

0 = y0 + v0 · t · sin α + 1/2 · g · t²    (y0 = 0)

0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²

0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t²       (sin45°/cos45° = 1)

0 = 300 feet - 4.9 m/s² · t²

-300 feet = -4.9 m/s² · t²

-300 feet / -16.08 ft/s²  = t²

t = 4.32 s

Now, we can calculate the initial velocity:

300 feet /( t · cos 45°) = v0

300 feet /( 4.32 s · cos 45°) = v0

v0 = 98.22 ft/s

The initial speed of the ball is  98.22 ft/s

To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:

vy = v0 · sin α + g · t

0 = 98.22 · sin 45° - 32.15 ft/s² · t

(-98.22 · sin 45°) / - 32.15 ft/s² = t

t = 2.16 s

(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).

Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).

r1y = v0 · t · sin α + 1/2 · g · t²

r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²

r1y = 75.02 ft

The maximum height of the ball is 75.02 ft.

solve for completing the square x^2-12x+11=0

Answers

Answer:

x = 6 ± 5

Step-by-step explanation:

x² - 12x + 11 =0

x² - 12x = -11          Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)

x² - 12x +36 = -11 + 36                      1/2(-12)² = 36

(x - 6)(x - 6) = 25

(x - 6)² = 25

[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex]                             square root of both side of the equation

x - 6 =  ± 5                                          (5)² = 25 and (-5)² = 25

x = 6 ± 5

if x =6 + y and 4x = 3 -2y, then x=

Answers

Answer:

x = 5/2 or 2.5

Step-by-step explanation:

I solved this using simultaneous equations or system of equations

You times (1) by 2 so that the y's are the same

You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them

I need help please !!!

Answers

Answer:

ดำหเภสยาแไ_ะทบบใืกไภเืวบวมเพนยชตึภ/ภึรื

Graph the line with slope 2/3 passing through the point (-3,-3)

Answers

Step-by-step explanation:

y=mx+b

y=(2/3)x+b

-3=(2/3)(-3)+b

-3=-2+b

-1=b

y=(2/3)x-1 . y-intercept at (0,-1)  

0=(2/3)x-1

1=(2/3)x

3=2x

3/2=x . x-intercept at (1.5,0)

Which of the following inequalities is represented by the number line?
Question 9 options:

A)

x ≥ 1

B)

x < 1

C)

x > 1

D)

x ≤ 1

Answers

Solid dot with line (arrow) to right so A) x>= 1 is correct

Answer:

Step-by-step explanation:

x ≥ 1

Hope this helps!

close circle = ≥ or ≤

open circle = > or <

positive number = going to the right

negative number = going to the left

Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)

Answers

There are 180 degrees in a triangle and if two of them are the same we can call them both a:

a + a + b = 180
2a + b = 180

Next, b is 12 degrees less than a so:
a - 12 = b

2a + a - 12 = 180
3a - 12 = 180

Add 12 to both sides
3a = 192

Find a:
a = 192 / 3
a = 64

This means angle 1 and angle 2 are equal to 64 degrees and angle 3 is 52 degrees

To check:
64 + 64 + 52 = 180 degrees

A polygon is shown on the graph:

A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.

What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

Answers

9514 1404 393

Answer:

  angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.

Step-by-step explanation:

The proposed transformation is ...

  (x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down

Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.

__

The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.

Answer: goood answer

Step-by-step explanation:

Which two integers is -1 2/3 in between?

-2 and -1

-1 and 0

0 and 1

1 and 2

Answers

It’s between -2 and -1

What is the answer to this question?

Answers

Rewrite 1/2 as 4/8

Now add 5 3/8 + 2 4/8

Answer: 7 7/8

write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2

Answers

Answer:

3, 9, 81, 6561

Step-by-step explanation:

previous term × itself

[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]

f(1)=3

[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]

[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]

[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]

Order the expressions by choosing >,<, or =

Answers

Answer:

1. <

2. <

3. >

Step-by-step explanation:

Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.

1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2=32[/tex]

[tex]=32[/tex]

[tex]2^2 = 2\times2[/tex]

[tex]2\times2=4[/tex]

[tex]32\times4=128[/tex]

[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]

128 < 1024

2. [tex]2^2=2\times2=4[/tex]

[tex]5^2=5\times5=25[/tex]

[tex]4\times25=100[/tex]

[tex]=100[/tex]

[tex]2^{10} = 1024[/tex]

100 < 1024

3. [tex]2^5 = 32[/tex]

[tex]5^2=25[/tex]

[tex]32\times25=800[/tex]

[tex]10^2 = 10\times10 = 100[/tex]

800 > 100

Hope this helps.

does anyone know this???

Answers

Answer: y=5x-7

I hope this helps I would appreciate brainliest if possible :)

i tried to answer earlier but someone else was typing, but the answer is y = 5x - 7.

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?

Answers

Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46

The gross salary is the amount received by an individual prior to the deduction of the taxes.

Given that:

Adjoa's gross salary for last month = Ghc4,687.24and Ghc421.78 was deducted from Adjoa's salary pay.

Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.

i.e.

= Ghc4687.24 - Ghc421.78

= Ghc4,265.46

Learn more about gross salary here:

https://brainly.com/question/13582411?referrer=searchResults

https://brainly.com/question/16688602

Seventh grade
M.10 Multi-step problems with percents 2HX
Tutorial
A store purchased a digital camera and marked it up 100% from the original cost of $863.57.
A week later, the store placed the digital camera on sale for 40% off. What was the discount

Answers

Answer:

$690.86

Step-by-step explanation:

100% from the original cost is: 2 x 863.57 = $1,727.14

40/100 = X/1727.14 (40 percent is what of 1,727.40) (%/100 = is/of)

(40 * 1,727.14) / 100 = $ 690.86

Can someone help answering my questions in English and Math

Answers

Answer:

yo

Step-by-step explanation:

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