Hazel invested part of a Php10,000 inheritance in stocks paying 6.5%
simple interest annually. She invested the rest in bonds paying 4.25% simple
interest annually. If Hazel will receive Php 582.50 in interest after one year,
how much did she invest in stocks? How much did she invest in bonds?​

Answers

Answer 1

Answer:

she invested $7013.33 in stocks and she invested $2986.7 in bonds?

Step-by-step explanation:

Let the amount invested in the stock= X

Let the amount invested in the bond= Y

For quantity equation,

X + Y = 10000 ............eqn(1)

✓We are told inheritance in stocks paying 6.5% simple interest = 0.065X

✓we are told She invested the rest in bonds paying 4.25% simple interest= 0.0425Y

The interest equation can be written as

0.065X + 0.0425Y = 582.50.........eqn(2)

We can make X subject of formula from eqn(1)

X= 10000 - Y

Substitute into eqn (2)

0.065(1000-Y) + 0.0425Y= 582.50

Multiply through by 10000

650(10000 - Y) + 425Y = 5825000

6500000 - 650Y + 425Y =5825000

Y= 2986.66

If we substitute Y into (X + Y )= 10000

X+2986.66= 10000

X= 7013.33

hence, she invested $7013.33 in stocks and she invested $2986.7 in bonds?


Related Questions

Factor completely and then place the factors in the proper location on the grid. 4 a2 - 8 a - 5

Answers

Step-by-step explanation:

(2a + 1)(2a - 5)

-1/2 and 5/2 are factors

point on graph are (-1/2,0) (5/2,0)

40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6

Answers

Answer: Credit to work in process invetory-assembly

Answer:

its C because it makes the most sense "Credit to work in process invetory-assembly."

Step-by-step explanation:

Due NOW!!! Please help!

Answers

Answer:

At x = 7 and x= 1

Step-by-step explanation:

Set each equation equal to 0 and solve.

x - 7 = 0

x = 7

x-1 =0

x = 1

X=1 happy to help ! :)

Liam is setting up folding chairs for a meeting. If he arranges the ch
same length, he has 9 chairs left over. If he arranges the chairs in 2 rows of that same
length, he has 21 left over. How many chairs does Liam have?
Liam has
chairs.

Answers

Answer:

Step-by-step explanation:

This is the answer

HELP ASAP PLS!!


what is composite area?? How do we use it in the real world???

Answers

Answer:

A composite figure (or shape) is one that can be separated into more than one of the basic figures. Examples of using it in the real world is building cars or houses.

Write an equation of the parabola shown.

Answers

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

Helpppppppppppppppp

Answers

1234567891011121314151617181920

the actual weights of bags of pet food are normally distributed about the mean of 50.0 lb with a standard deviation of 0.2 lb.


1. About what percentage of bags of pet food weigh between 49.8 lb and 50.2 lb?

2. About what percentage of bags weigh less than 49.8 lb?

3. In a group of 250 bags, what percentage of bags would you expect to weigh more than 50.4? ​

Answers

9514 1404 393

Answer:

68%16%2.5%

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

14 + 6z - 10 + 9z equaled to?!

Answers

Answer:

4 + 15z

Step-by-step explanation:

Is your simplified expression.

Answer:

15z + 4

Step-by-step explanation:

6z + 9z = 15z14 - 10 = 4Put them together: 15z + 4

I hope this helps!

You are the manager of a restaurant that delivers pizza to college dormitory rooms. You have just changed your delivery process in an effort to reduce the mean time between the order and completion of delivery from the current 21 minutes. A sample of 36 orders using the new delivery process yields a sample mean of 22.4 minutes and a sample standard deviation of 6 minutes.
A.) Please compute the test statistic. Please round to four decimal places.
B.) Please determine the p-value. Please round to four decimal places.
C.) Using a 0.05 level of significance, please provide the critical value for the appropriate test. Please round to four decimal places.
D.) Using a 0.05 level of significance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes?

Answers

Answer:

1.4000 ;

0.0807 ;

1.69 ;

Fail to reject the Null

Step-by-step explanation:

Given :

μ = 21 minutes

x = 22.4 minutes

Sample size, n = 36

Standard deviation, s = 6

H0: μ ≥ 21

H1: μ < 21

Test statistic : (x - μ) ÷ s/sqrt(n)

Test statistic : (22.4 - 21) ÷ 6/sqrt(36)

Test statistic : 1.4 ÷ 1

Test statistic = 1.4000

Pvalue : Using the Test statistic value at α = 0.05 ; One - tail test = 0.0807

The t critical value using a critical value calculator ; DF = (n - 1) = 36 - 1 = 35 ; α = 0.05 = 1.69

Decision region :

Reject H0 if

|Test statistic| > |critical value|

1.4 < 1.69

Hence, we fail to reject H0

There isn't enough evidence they delivery time has been reduced below previous mean

10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?​

Answers

Im sorry sam
Bell Lah-Lah she will do

Find the measure of the supplement of a
16° angle.

Answers

Answer:

164

Step-by-step explanation:

Hey There!

If they are supplementary angles then they will add up to equal 180

So given one of the angles (16) we subtract that from 180 to find the value of the missing angle

180-16=164

Your answer is 164

Hope this helps :)

An archer has $62 to spend on a new archery

set. A certain set containing a bow and three arrows costs $42. With the purchase of this set, he can purchase additional arrows for $4 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $62.

Answers

Answer:

5 more arrows

Step-by-step explanation:

62 - 42 = 20  20 / 4 = 5

The archer can buy 5 more arrows.

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

What are the steps I need to solve this problem? 2x + 5 = 21

Answers

Step-by-step explanation:

subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5

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Answers

Answer:

1

Step-by-step explanation:

A figure is graphed in the coordinate plane. Which pair of transformations will NOT preserve the size and the shape of the figure?

A. Reflect the figure over the line y = x and then translate it 2 units up

B. Translate the figure 3 units to the left and then dilate by a scale factor of 4

C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1

To state the figure 180 degrees counter-clockwise about the origin and then reflect it over the y-axis

Answers

The transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).

What is the dilation of the figure?

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

When a figure is dilated, the size of the original figure is changed.

A figure is graphed in the coordinate plane. Let's check all the option for the transformation of original figure.

A. Reflect the figure over the line y = x and then translate it 2 units up- Reflection and translation of a figure does not changes its shape and size.B. Translate the figure 3 units to the left and then dilate by a scale factor of 4- With the scale factor of dilation, the size of the figure will be changed for this case.C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1- In this case, there the figure is dilated with a scale factor of 1. This will change the size of the original figure.D. To state the figure 180 degrees counterclockwise about the origin and then reflect it over the y-axis- In this case the shape and size does not change.

Hence, the transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).

Learn more about the dilation of the figure here;

https://brainly.com/question/3457976


Need help QUICKLYY ———————————————————

Answers

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11

Answers

C lol ....... !/&:’zj

Answer:

C IF NOT D

Step-by-step explanation:

Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.

Answers

Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

what is
6 over 9
and
11 over 88​

Answers

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

P.S. Dont fall for those link scams! ;)

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Someone please help me and thank you:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,

How much commission did Mrs. Montgomery earn last month?

What was her total pay for the month?

Round your answers to two decimal places.

Answers

try using the steps in my question i have one just like you

Step-by-step explanation:

21m42n32p10
Зm 21n16 р5
Simplify

Answers

Mhh I dont know sry lol

Step-by-step explanation:

meh dont know

Change 79/3 into a mixed number

Answers

Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

ANSWER ONE OF THESE FAST PLEASE!!!

Answers

Answer:

x7

Step-by-step explanation:

Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n

Answers

Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

Plz help me I need help with math plz anyone who good at math

Answers

Answer

6 is the correct answer.

Step-by-step explanation:

You need to know sin(60) = root(3)/2 = a/(4root(3)), then you can solve for 'a', get a = 6.

i’m not sure try a formula

convertir 5000 cm a km​

Answers

Answer:

0.05 kilometer is the answer

Step-by-step explanation:

hope this answer may help you

Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at
a point that is a distance of 5 units from the -axis and 3 units from the -axis.
Jeffrey places a treasure at point J, and Garrett places one at point G.
Who put the treasure in the right place?
A Garret, he put the treasure at (3, 5)
B Jeffery, he put the treasure at (5, 3)
C Garret, he put the treasure at (5, 3)
D Not here

Answers

Answer:

Step-by-step explanation:

helpppppp ill give brainliest answer if you know

Answers

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

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