Answer:
The amount invested on 5.6% interest = $80488
The amount invested on 9.7% interest = $69512
Step-by-step explanation:
Given that total amount of investment = $150,000
Let the amount invested on 5.6% interest = $[tex]x[/tex]
Now, amount invested on 9.7% interest = $(150000-[tex]x[/tex])
Total interest to be earned = 7.5%
Formula to be used:
[tex]Simple\ Interest = \dfrac{P\times r\times t}{100}[/tex]
Where, [tex]P[/tex] is the amount invested
[tex]r[/tex] is the rate of interest
[tex]t[/tex] is the time for which amount is invested.
As per question statement:
[tex]\dfrac{x\times 5.6}{100}+\dfrac{(150000-x)\times 9.7}{100}=\dfrac{150000\times 7.5}{100}\\\Rightarrow 5.6x-9.7x=150000(7.5-9.7)\\\Rightarrow 4.1x=150000\times 2.2\\\Rightarrow x = \dfrac{330000}{4.1}\\\Rightarrow x \approx \bold{\$80488}[/tex]
The amount invested on 5.6% interest = $80488
The amount invested on 9.7% interest = $150000 - $80488 = $69512
What is 5 x 100 + 3 + 10 + 8 x 0.1 + 9 x 0.009
Answer:
513.881
Explanation: (Credits to jessy276)
= 5*100+3+10+8*0.1+9*0.009
= 500+3+10+8*0.1+9*0.009
= 500+3+10+0.8+9*0.009
= 500+3+10+0.8+0.081
= 503+10+0.8+0.081
= 513+0.8+0.081
= 513.8+0.081
= 513.881
Answer:
The answer is 513.881
Step-by-step explanation
How many bars of soap are in each package?
Answer:
3 bars of soap in each packet Pls mark me brainliest
Step-by-step explanation:
paul and jenn are building a new patio they are looking at home improvement stores for square tiles
How do unicellular organisms respond to their environment?
Answer:
Unicellular organisms sometimes move toward or away from things in their environment.
Step-by-step explanation:
Unicellular organisms can move in two distinct ways—movement and locomotion.
. Can you make a quadrilateral with the side lengths, 6, 7, 8 and 20?
Answer:
no you cannot
Step-by-step explanation:
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans.
Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4.3 + 6y = 48
models this situation, where x is the number of cars and y is the number of vans
Answer 2x and 7y
Step-by-step explanation:
Question:
Find 4 possible solutions in the context of the problem.
The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)
Given the equation that models the situation expressed as:
4x + 6y = 48
We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.
If there are no cars i.e. at when x = 0
4(0) + 6y = 48
0 + 6y = 48
6y = 48
y = 48/6
y = 8
One of the solution is (0, 8)
If there are 3 cars, i.e. at when x = 0
4(3) + 6y = 48
12 + 6y = 48
6y = 48 - 12
y = 36/6
y = 6
The second solution will be (3, 6)
If there are 6 cars, i.e. at when x = 6
4(6) + 6y = 48
24 + 6y = 48
6y = 48 - 24
y = 24/6
y = 4
The third solution will be (6, 3)
If there are 9 cars, i.e. at when x = 9
4(9) + 6y = 48
36 + 6y = 48
6y = 48 - 36
y = 12/6
y = 2
The fourth solution will be (9, 2)
Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)
Learn more here: https://brainly.com/question/2159099
Which equation represents a line which is parallel to the line y = 4x – 5?
Answer:
Any answer that has the same slope and a different y-intercept
Step-by-step explanation:
They need to have the same slope so that they never intersect
They need to have different y-intercepts so that they are not directly on top of each other
what is 54x32
bTW thIS iS foR mY aunT agaIN sO yeaH plZ hElP mEh
Answer:
1728
Step-by-step explanation:
Answer:
1728
Step-by-step explanation:
54*32=1728
At a wedding reception, the guests have a choice of chicken or steak for dinner. Do
more people prefer chicken or steak? Do more people under 40 prefer chicken or
steak?
Chicken Steak
Total
Under 40
39
21
60
40 or older
34
31
65
Total
73
52
125
a) More people prefer chicken. Also, more people under 40 prefer chicken.
b) More people prefer steak. Also, people under 40 prefer steak.
c) More people prefer chicken. However, more people under 40 prefer steak.
O d) More people prefer steak. However, more people under 40 prefer chicken.
i
Answer:
i think its a
Step-by-step explanation:
What is the slope of the line? PLEASE HELP
Find the 82nd term of arithmetic sequence-10,6,22,...
Answer:
23456787Step-by-step explanation:
0.1 + 0.3 please help on this.
Answer:
0.4
Step-by-step explanation:
[tex]0.1 + 0.3 = 0.4[/tex]
Answer:
0.4
Good Luck!!!
Please Help Me, it’s due soon!!! Picture is attached
Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 2° per hour. For the next 4 hours, it rose 1° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 59° at midnight.
I WILL GIVE BRAINLIEST JUST ANSWER PLS!!!
Answer:
The parameters given are arranged in a tabular form as follows;
At
Time Temperature
6 a. m. 56° F
7 a. m. 59° F
8 a. m. 62° F
9 a. m. 66° F
10 a. m. 70° F
11 a. m. 74° F
12 p. m. 74°F
1 p. m. 74°F
2 p. m. 74°F
3 p. m. 74°F
4 p. m. 74°F
5 p. m. 74°F
6 p. m. 74°F
7 p. m. 71°F
8 p. m. 68°F
9 p. m. 65°F
10 p. m. 62°F
11 p. m. 61.5°F
12 a. m. 61°F
With the above table as the data points, the graph can be drawn
From Excel, The Mean temperature is approximately 68.1°F
The standard deviation is 6.079 °F
Solve the equation.
10n-100=6n
what is n
Pure substances cannot be separated into any other kinds of matter, while a mixture is a combination of two or more pure substances. ... A pure substance has constant physical and chemical properties, while mixtures have varying physical and chemical properties
Answer:
True
Step-by-step explanation:
The above statement is true because a mixture is a combination of two or more substances. and this is done physically ( not chemically as seen in compounds) which in turn gives rise to the varying physical and chemical property that a mixture possess , while a pure substance is inseparable while maintaining a constant physical and chemical property as well
A stray dog ate 30 of your muffins. That was 2/3 of all of them. How many are left?
Cora and Cameron are at a pool Carl dives in and touches the bottom of the pool 15 feet below the surface of the water Cameron is standing on a diving platform 2 feet above the service waiting for his turn what is the vertical distance between Carl's and and Cameron's feet
Answer:
17 feet
Step-by-step explanation:
Here, we want to calculate the vertical distance between Carl’s and Cameron’s feet
Since Carl is at the base of the pool, the distance between the water surface and the base of the pool will be 15 feet
We are also told they Cameron is on a diving platform 2 feet above;
So the distance between the two of them will be ;
15 feet + 2 feet = 17 feet
When 9 is multiplied by a number, the result is 90.
Which equation fits this statement?
A
X-9 = 90
B
x=9= 90
9+ x = 90
9x = 90
9x = 90 is the answer of the question
What is the solution: 4x - 1 = 10 + 4x
Answer:
0=11
Step-by-step explanation:
The Call First cell phone company charges $45 per month and an additional $0.24 for each text message sent during the month. Another cell phone company, Cellular Plus, charges $65 per month and an additional $0.23 for each text message sent during the month.
Answer:
2000
Step-by-step explanation:
Let [tex]x[/tex] be the total number of text messages sent per month in order for the plans to cost the same each month.
The first cell phone company, The Call, charges $45 per month and $0.24 per text message for the month.
So, the total cost as per the plan of The Call, for x text messages during the month, is
[tex]C_1= 45+0.24x\cdots(i)[/tex]
Another cell phone company, Cellular Plus, charges $65 per month and $0.23 per text message for the month.
So, the total cost as per the plan of Cellular Plus, for x text messages during the month, is
[tex]C_2= 65+0.23x\cdots(ii)[/tex]
As the cost for both the companies are the same, so, compute the number of text messages, x, during the month by equation [tex]C_1[/tex] and [tex]C_2[/tex] from equation (i) and (ii), we have
[tex]C_1=C_2[/tex]
[tex]\Rightarrow 45+0.24x=65+0.23x[/tex]
[tex]\Rightarrow 0.24x - 0.23x=65-45[/tex]
[tex]\Rightarrow 0.01 x = 20[/tex]
[tex]\Rightarrow x = 20/0.01[/tex]
[tex]\Rightarrow x= 2000[/tex]
Hence, there must be 2000 text message to be sent during the month in order to have the same cost from both the companies.
Eight teams of high school students helped clean up trash in the community. Afterwards, they shared 47 pizzas equally. How many pizzas did each team get?
Answer:
We know that 8 teams of students shared 47 pizzas.
The only thing we can assume is that the 47 pizzas where divided evenly between the teams, so the number of pizzas that each team gets is equal to the quotient between 47 and 8, or:
47/8 = 5.875
But this is not a whole number, and this happens because 47 is not a multiple of 8.
Then we can do:
47 = 40 + 7
And 40 is a multiple of 8.
40/8 = 5
Then each team got 5 whole pizzas, and there are 7 pizzas left.
Now, we can assume that each pizza has 8 slices.
Then there are left 7*8 = 56 slices.
And when we divide those by the number of teams, we have:
56 /8 = 7
So each team gets 7 slices from the remainder pizzas.
Then we can conclude that each team gets 5 whole pizzas and 7 slices.
Find the measure of angle one…. PLEASE HELP!!!!!!
Answer:
Step-by-step explanation:
9x - 5 = 58
9x = 63
x = 7
<2 = 32°
7y + 27 + 58 + 32 = 180
7y + 117 = 180
7y = 63
y = 9
for <1: x + 58 = 180
x = 122°
what is the next number 5, 10, 30, 60, 180, __
The answer is 360
Explanation:
5 x 2 = 10
10x3=30
30x2=60
60x3=180
180x2 = 360
Answer:
The answer is 360
Step-by-step explanation:
Because the pattern is x2, x3
so the next would be 360 and the next would be 1080
write an expression that is equvalient to 3/5 (3y+15)
Answer:
not mine but yeah <3
Step-by-step explanation:
You found a unit rate that compares dollars earned per hours worked at the coffee shop.Is there another unit rate you could write for this relationship? What does that unit ratemean in the context of the situation? What is the related constant of proportionality?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I'll assume the following.
Unit Rate = $10 per 2 hours
Solving further, we have that:
1. Yes, there is another unit rate that can be written.
Unit Rate = $10 per 2 hours
Convert Rate to fraction
[tex]Unit\ Rate = \frac{\$10}{2\ hours}[/tex]
Divide numerator and denominator by 2
[tex]Unit\ Rate = \frac{\$5}{1\ hour}[/tex]
Simplify:
[tex]Unit\ Rate = $5/hour[/tex]
2. The unit rate implies that the earnings is $5 per hour
3. The constant of proportionality
Let y represent the earnings
x represent work hours.
We have:
[tex]y = kx[/tex]
Where k = constant of proportionality
In this case:
[tex]y = 10[/tex]
[tex]x = 2[/tex]
Substitute these values in [tex]y = kx[/tex]
[tex]10 = k * 2[/tex]
[tex]10 = 2k[/tex]
Divide both sides by 2
[tex]5 = k[/tex]
[tex]k = 5[/tex]
Hence: The unit of proportionality is 5
Apply the above steps in your question
What are the first three common multiples of 3 and 9?
Answer:
9,18,27
Step-by-step explanation:
9 is a multiple of 3 so the first 3 multiples of 9 are the same as the first 3 multiples of 3 and 9.
Another store, Healthy Pets, sells dog food in 50-pound bags for $92.13 per bag. If one bag of food from Pets Galore costs $48.15, how much would Seth save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets?
Answer:
$140.91
Step-by-step explanation:
50 pounds = 1 bag
150 pound bags = 150 ÷ 5
3 bags
Another store, Healthy Pets, sells dog food in 50-pound bags for $92.13 per bag.
1 bag = $92.13
3 bags = x
Cross Multiply
x = 3 × $92.13
$276.39
If one bag of food from Pets Galore costs $48.15
1 bag = $48.15
3 bags = x
x = 3 × $48.15
x = $135.48
The amount would Seth save by buying 150 pounds of dog food from Pets Galore instead of from Healthy Pets is
$276.39 - $135.48
= $140.91
The answer must be an explanation and equation
Answer:
(4.91, 3.5)
Step-by-step explanation:
6x+21y=103
+
-6x+23y=51
=
44y=154
y=3.5
6x+21(3.5)=103
6x+73.5=103
6x=29.5
x=4.91
(4.91, 3.5)
Answer:
The answer is (4,6) because you would have to eliminate the -6 and 6 to get the y which would be 24y and then divide 154/24 which is roughly 6 and then put that in to get x which is roughly 4
you can also use elimiation for y as well
ERROR ANALYSIS Describe the error in solving the equation
Х
2(x + 1)2 + 3 = 21
2(x + 1)2 = 18
(x + 1)2 = 9
x + 1 = 3
x = 2
You must subtract 1 from each side before taking the square root.
The was not used when taking the square root.
You must take the square root before dividing each side by 2.
You must take the square root before subtracting 3 from each side.
Answer:
HSA.REI.A.2. Practice some problems before going into the exercise. ... Solving square-root equations: one solution ... When I solve a square-root equation, what is it exactly what I'm finding? ... So, do all quadratic equations have extraneous solutions? ... sqrt(x-2)^2=sqrt(1) equal x-2 = +/-1 and not +/-(x-2) = +/-1