Tyler has two savings accounts that his grandparents opened for him. One of accounts pay 7 % annual interest, whereas the other pays 9 % annual interest. you have $600 more invested 9% then you invested at 7% , how much do you have invested in each account if the total amount of interest you eam in a year is $118

Answers

Answer 1

Answer:

$400 and $1,000

Step-by-step explanation:

Let us assume the x be the amount invested in 7% account

And, 600 + x be the amount invested in 9% account

Now the equation is

7x% + 9%(600 + x) = $118

0.07x + 54 + 0.09x = $118

0.16x = $118 -$54

0.16x = $64

x = $400

And, the other one is = $400 + $600 = $1,000


Related Questions

Which of the following circles has an area greater than 400 square meters and less than 600 square meters? Use 3.14 for π. Select all that apply.


A.Radius: 8 meters
B.Radius: 12 meters
C.Radius: 14 meters
D.Diameter: 12 meters
E.Diameter: 22 meters
F.Diameter: 26 meters

Answers

The answer is D fkfkfkkf

Answer:d

Step-by-step explanation:fkjfkjfkjfkjfkjf

12ft long, 3.5ft width, 1.25ft tall. What is the volume?

Answers

Answer:

52.5

Step-by-step explanation:

You need to multiply l*w*h (length times width times height). In this case, the equation would be 12*3.5*1.25, which would equal 52.5.

Answer:

52.5

Step-by-step explanation:

length*width*hight

l*w*h

A radioactive isotope is decaying at a rate of 15% every hour. Currently there are 150 grams of the substance. Write an equation that will represent the number of grams present after n hours. How much will be left one day from now?A radioactive isotope is decaying at a rate of 15% every hour. Currently there are 150 grams of the substance. Write an equation that will represent the number of grams present after n hours. How much will be left one day from now?

Answers

Answer:

The equation that will represent the number of grams present after n hours is [tex]A(n) = 150(0.85)^n[/tex]

3.035 grams will be left one day from now.

Step-by-step explanation:

Exponential equation for the amount of a substance:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time period.

A radioactive isotope is decaying at a rate of 15% every hour.

This means that [tex]r = 0.15[/tex]

Currently there are 150 grams of the substance.

This means that [tex]A(0) = 150[/tex]

Write an equation that will represent the number of grams present after n hours.

[tex]A(n) = A(0)(1-r)^n[/tex]

[tex]A(n) = 150(1-0.15)^n[/tex]

[tex]A(n) = 150(0.85)^n[/tex]

How much will be left one day from now?

One day is 24 hours, so this is A(24).

[tex]A(24) = 150(0.85)^{24} = 3.035[/tex]

3.035 grams will be left one day from now.

13,14,15- please helppp

Answers

Answer:

Must understand distance and slope formula first:

slope y_2-y_1/x_2-x_1

distance d=√((x_2-x_1)²+(y_2-y_1)²)

(Just search up the formulas if this isn't clear)

Step-by-step explanation:

For #13 take two points and put them in the distance formula remember (#,#) the first # is 'x' the second # is the 'y' in a point.

then you could simply type all that in a calculator and a single number should pop up indicating one of the lines (doesn't matter the #) then do the same for the second points (cuz you used two already you have two left) If the number is same as the first two points it's a pallelagram. (I tested it out got 7.07...)

For the slope you're doing something similar to the distance formula, you're filling out two sets of points into the slope formula if they come out the same # it's parallel.

please help !!!! asap

Answers

Answer:

y = 1

Step-by-step explanation:

-3y + 14 + y = 12

-3y + y + 14 = 12

-2y + 14 = 12

-2y + 14 - 14 = 12 - 14

-2y = -2

-2y/-2 = -2/-2

y = 1

Answer:

y=1

Step-by-step explanation:

Hey There!

So to solve this type of problem we use inverse operations

-3y+14+y=12

step 1 subtract 14 from each side

14-14

12-14=-2

now we have

-3y+y=-2

step 2 combine like terms

-3y+y=-2y

now we have -2y=-2

step 3 divide each side by -2

-2/-2=1

so we can conclude that y=1

en la pastelería de Luisa le regalan a una casa hogar 18 galletas dé cada 60 que se hornean a la semana si la semana pasada hornearon 720 galletas Cuántas regalaron​

Answers

Answer:

La pastelería de Luisa regaló 216 galletas a la casa hogar.

Step-by-step explanation:

De acuerdo con el enunciado, la pastelería de Luisa regalan 18 galletas a una casa hogar por cada 60 galletas horneadas en una semana. El total de galletas regaladas por hornear 720 galletas se determina por la siguiente Regla de Tres Simple:

[tex]x = \frac{18}{60}\times 720[/tex]

[tex]x = 216[/tex]

La pastelería de Luisa regaló 216 galletas a la casa hogar.

If a triangle is reflected across the y-axis, what are the coordinates of the image of point F? Use FGH to answer the question.

Answers

The answer is D. You just move 10 units down from point F.

what is the volume of this object just tell me no explashiom

Answers

Answer:

29 I think

Step-by-step explanation:

-x^2+4x-8
axis of symmerty​

Answers

Answer:

[tex]\boxed {\boxed {\sf x=2}}[/tex]

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

[tex]x=\frac{-b}{2a}[/tex]

First we must determine a and b from the quadratic: [tex]-x^2+4x-8[/tex]. This is in standard form, with the highest power first in descending order.

Standard form is also: [tex]ax^2+bx+c[/tex]

If we compare this to the quadratic given, we can conclude that:

[tex]a= -1 \\b= 4 \\c= -8[/tex]

Substitute the values for a and b into the formula.

[tex]x= \frac{-(4)}{2(-1)}[/tex]

Multiply in the denominator.

[tex]x=\frac {-4}{-2}[/tex]

Divide.

[tex]x=2[/tex]

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

24=3(n-5) what does n equal​

Answers

n=13 is the right answer

Answer:

The answer is n = 13

Step-by-step explanation:

1) Divide both sides by 3.

[tex] \frac{3}{24} = n - 5 [/tex]

2) Simplify 24/3 to 8.

[tex]8 = n - 5[/tex]

3) Add 5 to both sides.

[tex]8 + 5 = n[/tex]

4) Simplify 8 + 5 to 13.

[tex]13 = n[/tex]

5) Switch sides.

[tex]n = 13[/tex]

Therefor, the answer for this equation is n = 13.

Connor’s temperature was 0.7 degrees higher last night than it was this morning. His temperature this morning was 101.2 degrees. What was his temperature last night?

Answers

Answer:

101.9 degrees

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Let's define what we have:

Conner's morning temperature: 101.2 degrees

Conner's last night temperature: morning temperature + 0.7 degrees

We know that Conner's last night temperature is addition because it was higher (key word) than the morning temperature.

Therefore, we simply add the values together to get our answer:

101.2 + 0.7 = 101.9 degrees

Help please is for now

Answers

Answer:

x intercept (-3,0)

y intercepy (0,-6/5)

Step-by-step explanation:

uh i used a calculator but please lmk if this is correct

Write the standard equation of the circle with center (-12, – 7) that passes through the point (-3,7).

Answers

Answer:

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-12, – 7)

This means that [tex]x_0 = -12, y_0 = -7[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-12))^2 + (y - (-7))^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

Passes through the point (-3,7).

This means that we use [tex]x = -3, y = 7[/tex] to find the radius squared. So

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](-3 + 12)^2 + (7 + 7)^2 = r^2[/tex]

[tex]81 + 196 = r^2[/tex]

[tex]r^2 = 277[/tex]

The equation of the circle is:

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

How many joules of gravitational potential energy does a 15 kg object have when it is lifted from the floor and held 0.6 meters above the ground?

Answers

Answer:

88.29joules

Step-by-step explanation:

mgh=gravitational potential energy

(15kg)(9.81)(0.6)= 88.29joules

RQ= x+1 QP=7 RP=2x+8 solve for RP

Answers

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

If an exterior angle measure of a regular polygon is 60°, how many sides does the polygon have? What is the measure of each interior angle?​

Answers

9514 1404 393

Answer:

6 sides120°

Step-by-step explanation:

The sum of the measures of the exterior angles of a convex polygon is always 360°. If each is 60°, there are 360°/60° = 6 of them.

There are 6 sides.

The adjacent interior angle is the supplement of the exterior angle, so is ...

  180° -60° = 120°.

Each interior angle measures 120°.

Which of the following numbers is the least?
Question 3 options:


7.1×109



7×109



7×108



7.1×108

Answers

Answer:

7×108

Step-by-step explanation:

7×108=756 which is the least number

Sadie baked her award-winning blueberry pie. After she sampled a small piece, 7/8 of the pie remained. Her family ate an additional 3/4 of the pie after dinner. What fraction of the pie is left?

Answers

1/8 of the pie is left.

Answer:

The answer is 1/8

Step-by-step explanation:

7/8 - 3/4 = 0.125

0.125 converted to a fraction is 1/8

A perfume manufacturer puts 16 fluid ounces in each bottle. How many gallons will fill 96 bottles?

Answers

Answer:

12,228 ounces

Step-by-step explanation:

There are 128 ounces in a gallon. So multiply 128 ounces by the number of gallons.

128 x 96 = 12,228

96 bottles of perfume will fill 12 gallons.

Given that a perfume manufacturer puts 16 fluid ounces in each bottle.

We need to find how many gallons will fill 96 bottles,

To find the total number of gallons required to fill 96 bottles, we need to calculate the total volume in fluid ounces and then convert it to gallons.

Given that each bottle contains 16 fluid ounces, the total volume in fluid ounces for 96 bottles can be calculated as:

Total fluid ounces = 16 fluid ounces/bottle x 96 bottles

Total fluid ounces = 1,536 fluid ounces

To convert the total volume from fluid ounces to gallons, we use the conversion factor:

1 gallon = 128 fluid ounces

Therefore, the total volume in gallons is:

Total gallons = Total fluid ounces / 128 fluid ounces/gallon

Total gallons = 1,536 fluid ounces / 128 fluid ounces/gallon

Total gallons = 12 gallons

So, 96 bottles will fill 12 gallons.

Learn more about Unit Conversion click;

https://brainly.com/question/28600662

#SPJ4

La media es única ? Cierto o falso

Answers

Answer:

cierto

Step-by-step explanation:

porque son diferentes cosas?





Sim, está cierto...

x = y + 1/2 ordered pair: (–5, –2)

1. The ordered pair IS a solution to the equation

2. The ordered pair IS NOT a solution to the equation

Answers

Answer:

2. The ordered pair IS NOT a solution to the equation

Step-by-step explanation:

-2+1/2=-1.5

M = 19 - 3 please ANSWErrrr

Answers

Answer:

16

Have a great day!

M=16
19-3 is 16, so there’s you answer

of Kayla has a bowl of beads that contalns 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from
the bowl.
The probability of Kayla not drawing yellow or a green bead is
%. The probability of Kayla drawing red or a green bead is
%.

Answers

Answer:

a) You have a 30% of not drawing yellow or green

b) You'd have a 46% of frawing a red or green bead

Step-by-step explanation:

Total beads: 42 + 28 + 12 + 18 = 100

Green beads + yellow beads = 28 + 42 = 70

100 - 70 = 30

30/100 = 0.3 or 30%

Red beads + green beads = 18 + 28 = 46

46/100 = 0.46 or 46%

Answer:

1. 30%

2.46%

Step-by-step explanation:

The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is  46 %.

Correct for plato! :)

What’s the answer to this math problem?

Answers

I think it’s D
Sorry if it’s wrong

Find the missing sides of the triangle. Leave your answers in simplest radical form.

Answers

Answer:

B) x=2, y=2

Step-by-step explanation:

B.

It’s a 90-45-45 triangle, so the hypotenuse is x√2, and the other two sides are x.  Since this x is 2, the other two sides are 2.

PLEASE HELP ME.............

Answers

Answer:

[tex]g(x)=3x^2[/tex]

Divide twice the variable p by the product of 5 and q

Answers

Answer:

Step-by-step explanation:Solution :

Given variable = p

According to the problem given ,

Twice the variable p divided by the

product of 5 and q

= ( 2p )/ ( 5q )

= 2p/5q

What is the value of the expression below when n =
2.4?
An X 2 + 13

Answers

Answer:

34 because if u add the to the y

Step-by-step explanation: it would give u 34

Kobe drove 240 miles in 6 hours. To find the unit rate, you should determine how many miles Kobe drove
in hour(s).

Answers

Answer:

40 miles per hour

Step-by-step explanation:

Answer:

40 mph

Step-by-step explanation:

240 / 6 = 40

How many different 12 member juries can be chosen from a pool of 20 people?

Answers

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

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