Paul split an inheritance between two investments, one paying 7% annual interest and the other 10%. He invested twice as much in the 10% investment as he did in the 7% investment. If his combined annual income from the two investments was $4050, how much did he inherit?

Answers

Answer 1

0.07 * (1/3)x + 0.10 * (2/3)x = 4050
--> 0.07x/3 + 0.20x/3 = 4050
--> [Multiply both sides by 3]
--> 0.07x + 0.20x = 12150
--> 0.27x = 12150
--> x = 45000

The original inheritance was $45,000.

Related Questions

find the slope from the table

Answers

Answer:

5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Evaluate the expresions -8-14÷2+5

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)​

Answers

Answer:

23/3

Step-by-step explanation:

x=-4

plug x into equation

4(-4)+3y = 7  

-16+3y = 7

3y=23

y=23/3

HELP ASAP IT'S AN EMERGENCY​

Answers

Answer:

AAS

Step-by-step explanation:

It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!

Find the focus and directrix of the parabola with the given equation. y^2-4x=0

Answers

Answer:

directrix: x=-1

focus: (1,0)

Step-by-step explanation:

What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.

Answers

Answer

-4/3

Step-by-step explanation:

The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound

Answers

Answer:

store B, C, and D

Step-by-step explanation:

The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

21.2d + 12.4f

Step-by-step explanation:

Given that:

Width of rectangle = (5.5d+9.7f) centimeters

Length of rectangle = (5.1d-3.5f) centimeters

Perimeter of a rectangle : 2 (length + Width)

2 [(5.1d-3.5f) + (5.5d+9.7f)]

2[5.1d - 3.5f + 5.5d + 9.7f]

2[10.6d + 6.2f]

= 21.2d + 12.4f

Hence, the perimeter is :

21.2d + 12.4f)

Which of the following lists of ordered pairs is a function?



(-1, 2), (2, 3), (3, 1), (2, 5)



(1, 2), (4, 0), (3, 5), (4, 3)



(2, 5), (3, 6), (6, 9)



(2, 5), (3, 6), (2, 1)

Answers

Functions and Relations

Answer:

[tex](2,5), (3,6), (6,9)[/tex]

Step-by-step explanation:

Because the abscissa does not repeat with different ordinate (well, there's actually no repeating abscissa)

Answer:c

Step-by-step explanation:

Seventeen less than a number
is negative two. What is that
number?

Answers

Answer:15

Step-by-step explanation:

15-17=-2

Answer:

15

Step-by-step explanation:

15

Find the equation of the line khan academy slope intercept equation from the graph
PLEASE HELP!!!

Answers

y= 3/4x - 2
I hope this helps!!!

Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of sleep. What is the percent increase in the number of hours that the student will sleep? Round your answer to the nearest whole percent.

Answers

Answer:

52%

Step-by-step explanation:

Number of hours of sleep a student gets = 5.28hrs

A teacher wants the student to get = 8hrs of sleep

Unknown:

Percentage increase in the number of hours the student will sleep = ?

Solution:

  Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100

 Percentage increase  = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%

  Percentage increase  = 52%

I need help the instructions say go left to right

Answers

A would go to 4
B would go to 3
C would go to 2
D would go to 1

Help!!!!!!!Plz!!!!!!!

Answers

Answer:

I'm so confused

Step-by-step explanation:

Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.

Answers

Answer:b

Step-by-step explanation:

Adam’s weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight

Answers

Answer:

65kg=143.30047 pounds and 1kg=2.20462262 pounds

Radio blackouts are among the most common space weather events to affect Earth. Minor radio blackouts occur, on average, twice per year. Use a Poisson process to model the phenomenon. (a) Given that 3 events have occurred in the first half of the year, what is that probability that 3 events will happen in the rest of the year? (b) How many radio blackouts do you expect to see in two years? (c) Starting from now, how long must we wait so that the probability of seeing the next radio blackout is at least 0.5? (d) Find the probability that the time to the 4th blackout is at most 2 years.

Answers

Answer:

a.  P(x = 3) = 0.061313

b. The expected number of radio blackouts = 4

c.  It is not possible to determine the next radio blackout

d. P(x = 4) = 0.19537

Step-by-step explanation:

From the given information:

Using a Poisson process to model the phenomenon:

Since minor radio blackouts occur, on average, twice per year.

Then:

[tex]\lambda = 2 \ years[/tex]

From question (a)

time t = 1/2 (i.e half of the year)

Let x be the random variable that denotes the probability that 3 events will happen in the rest of the year.

Then:

[tex]P(x = 3) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!}[/tex]

[tex]P(x = 3) = \dfrac{e^{-2* 0.5} \times (2 * 0.5)^3}{3!}[/tex]

P(x = 3) = 0.061313

b).

The number of radio blackouts  we expect to see in two years can be estimated as follows:

we know that:

t = 2 years

E(x) = λ × t

E(x) = 2 × 2

E(x) = 4

The expected number of radio blackouts = 4

c).

The amount of time we need to wait given that the probability of seeing the next radio blackout is at least 0.5 is as follows:

Here, the time (t) = ???

Thus:

P(x =1) = 0.5

[tex]P(x = 1) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]

[tex]\dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]

Thus, it is not possible to determine the probability (50%) of seeing the next radio blackout.

d)

The probability that the time to the 4th blackout is at most 2 years can be computed as follows:

Here;

x =4 , t = 2

Thus:

[tex]P(x = 4) = \dfrac{e^{-4 } \times (4)^4}{4!}[/tex]

P(x = 4) = 0.19537

Help! Now help! ASAP!I’ll make you brainly now please

Answers

Answer:

35

Step-by-step explanation:

Answer:

-35 meters

Step-by-step explanation:

He's below sea level, basically saying below 0= sea level.

Then it's basically saying -172+ 137 meters because the shark is going upwards 137 meters, which makes 137 positive. Dude, remember, up is positive and down is negative. So the answer to this problem would be -35 meters because of -172+137=-35. Hope this helped you.

10 Given a || b. Find the value of z that makes ; || k.
Turned in
+27)
id document
(4:+3y)
N
submit
57
**/y+ :)
z=228
z=11.25
2 = 17.25
2= 48

Answers

maybe try quizzlet that would really help i swear


PLEASE HELP I CANT DO MATH

Answers

Answer:

c

Step-by-step explanation:

the number line says less than 4 so if you solce for all the equations c will be x<4

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?

Pleaseeee

Answers

Answer:

13 1/3

Step-by-step explanation:

im sure this is right btw

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.

Answers

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

Pendiente 6 y puntos (5, -2)

Answers

Answer:A HORLE

Step-by-step explanation:

Solve the following equation for x using inverse operations 7x-15=1

Answers

Answer:

x = [tex]\dfrac{16}{7}[/tex]

Step-by-step explanation:

Equation

7x - 15 = 1 → Move the -15, reversing the sign:

7x = 1 + 15 → Solve the sum:

7x = 16 → We have a fraction:

x = [tex]\dfrac{16}{7}[/tex]

x = 2.28571428571

To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].

Hope this helps!

Good studies!

The solution of the equation for x is;

⇒ x = 16/7

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

7x - 15 = 1

Now, Solve the expression for x by using inverse operations as;

7x - 15 = 1

Since 15 is subtract and inverse of subtraction is addition.

Hence,

Add 15 both side we get;

7x - 15 + 15 = 1 + 15

7x = 16

7 is multiply by x, and inverse of multiplication is divide;

So, Divide by 7 both side;

x = 16/7

Thus, The solution of the equation for x is;

⇒ x = 16/7

Learn more about the inverse operations visit:

https://brainly.com/question/17136818

#SPJ5

the first number in the pattern is 32 the rule is to add 27​

Answers

Answer:

59

Step-by-step explanation:

Somebody tell me whats the answer and how do i find the oder pair thing

Answers

Answer:

( 2,0)

Step-by-step explanation:

The line crosses the Y intercept at the coordinates at (2,0)

Answer:

the y-intercept of the graph is 2

the ordered pair is (0,2)

Step-by-step explanation:

The y-intercept is the point where the line crosses the "y" line. Ordered pair are written (x,y)  (the x is always in the front)

So, if we look at the "y" line we can see they y point is a 2, and if we look at line "x", the 2 is "above" the point 0 on the line labeled x.

If m<7 is 2x + 30 and m<28 is 3x - 10, find the
following:

Answers

Answer:

x = 32

m∠7 = 94

m∠8 = 86

m∠3 = 94

Step-by-step explanation:

(2x + 30) + (3x - 10) = 180

5x + 20 = 180

5x = 160

x = 32

m∠7 = 2(32) + 30 = 94

m∠8 = 3(32) - 10 = 86

or

m∠8 = 180 - 94 = 86

m∠3 ≈ m∠7 (corresponding angles)

|x |-8= -5
what's the answer​

Answers

Answer:

|x |-7 = -5     ( x = -3 )

Step-by-step explanation:

3 :::::::::::::::::::

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct

What is the y-intercept of the line?
YA
2
-2
-2
0

Answers

Answer:

1 the line hits the y line at 1

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