Last summer Olivia earned $3800 by selling cakes. She invested some of the money in a savings account that paid 4.5%/yr and the rest in a government bond that paid 5.5%/yr. After one year, she has earned $180 in interest. How much did she invest at each rate? [4]
Answer:
Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
Step-by-step explanation:
With the information provided you can write the following equations:
x+y=3800 (1)
0.045x+0.055y=180 (2), where:
x is the amount invested in a savings account
y is the amount invested in a government bond
First, you can solve for x in (1):
x=3800-y (3)
Next, you can replace (3) in (2) and solve for y:
0.045(3800-y)+0.055y=180
171-0.045y+0.055y=180
0.01y=9
y=9/0.01
y=900
Finally, you can replace the value of y in (3) to find x:
x=3800-900
x=2900
According to this, the answer is that Olivia invested $2900 in a savings account that paid 4.5%/yr and $900 in a government bond that paid 5.5%/yr.
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There are 6 cartons of orange juice in each package shown above. Kelsi paid $10.50 for 6 cartons of orange juice. What is the unit price per carton of orange juice?
A) $1.25 per carton B) $1.60 per carton © $1.75 per carton D) $1.80 per carton
Answer:
c) 1.75
Step-by-step explanation:
Answer:
1:75
Step-by-step explanation:
not sure how to do this. need help
Answer:
a) 25/2 or 12.5
b) 78,125
c) 625
d) 30,517,578,125
Give an example to show that when two prime numbers are added, the result
may be an odd number.
Answer:
2+3=5
Step-by-step explanation:
prime numbers =2 and 3
sum =5 which is odd
You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?
Answer:
22.5 JStep-by-step explanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 4.5 × 5
We have the final answer as
22.5 JHope this helps you
Does anyone know the answer to this and if you do pls give it to me I need it ASAP
Answer:
7,3 if rounded up...
not rounded up..... 7, 3.3????? I think???
Slope-intercept form: y = mx + b
First find the slope : [tex]\frac{rise}{run} = \frac{-1}{3}[/tex]
Slope = -1/3
Now we got y = -1/3x + b
Next find y-intercept. This is where your line crosses the y line (vertical)
Y-intercept = 3
b = 3
Answer: y = -1/3x + 3
A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the box?
Thanks in advance!
Answer:
852 inches square
Step-by-step explanation:
2×(16×15 + 16×6 + 15×6)
Answer:
652 in²
Step-by-step explanation:
The formula is 2(wl+hl+hw)
h is height
w is width
l is length
Use PEMDAS/BIDMAS/BODMAS (do the parentheses then multiply it)
326*2 = 652
add your units
652 in^2
What are the coordinates of the vertex of the parabola described by the equation below? y = -5(x + 2)^2 + 7
A. (2, -7) O B. (-7,-2) O C. (7,2) O D. (-2,7)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
How to determine the location of the vertex of the parabola by algebraic meansThe vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:
y - k = a · (x - h)² (1)
After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5
To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088 #SPJ5
Solve the proportion
17/4 = y/6
Answer:
This is your answer ☺️☺️
In a large population, 92% of the households have cable tv. A simple random sample of 225 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions
Answer:
the mean and the standard deviation is 0.92 and 0.01808 respectively
Step-by-step explanation:
The computation of the mean and the standard deviation is shown below:
The mean is 0.92
And, the standard deviation is
= √0.92 × (1 - 0.92) ÷ √225
= √0.92 × 0.08 ÷ √225
= √0.0736 ÷ √225
= √3.27
= 0.01808
Hence, the mean and the standard deviation is 0.92 and 0.01808 respectively
What is the area?
____ Square millimeters
Answer: 210 mm²
Step-by-step explanation:
A = 1/2(long base + short base) x height
A = 1/2(18 + 10)(15)
A = 1/2(28)(15)
A = 210 mm²
If two events A and B are independent, and you know that P(A) =
what is the value of P(A|B)?
Select one:
There is not enough information to determine the answer.
7/10
3/10
1
Answer:
i think its 7/10
Step-by-step explanation:
Write the equation of the line based on the given information explain the answer in slope intercept form
Answer:
y = 2/3 x - 3
Step-by-step explanation:
substitute the given slope and the coordinate into the slope-intercpet form:
y = mx + b to solve for b,
-1 = 2/3(3) + b
=> b = -3
y = 2/3 x - 3
Can someone plz help me with the answer
Step-by-step explanation:
[tex] \frac{12 \times 8}{2} + {( \frac{8}{2}) }^{2} \pi = \\ = 48 + 16\pi[/tex]
98.24
Write an expression for the phrase. Jessica is eight inches less than twice Parkers height. Use P to represent parker.
Answer:
P = Parker
According to the question,
Equation for Jessica's height = 8 - 2P
can you guys help me asap
Can someone help me with this. Will Mark brainliest.
Answer:
pt B: (-1, -8)
Step-by-step explanation:
(x - 7)/2 = -4
x - 7 = -8
x = -1
(y-6)/2 = -7
y - 6 = -14
y = -8
helpppp plsssss(I’ll give 80 pointssss
Answer:
-4 + -6 = -10
Step-by-step explanation:
From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6
Can anyone help with what the formula to calculate the volume of a Rhombohedron (3D Rhombus) is? Could you also give me an example of how to do it please?
Answer: the formula is : β = 180° - α
A = 6 * a² * sin(α)
V = a³ * (1-cos(α)) * √1+2cos(α)
Sorry, i don't know any examples .
Step-by-step explanation:
i need help. what’s the answer to this .
Answer:
12
Step-by-step explanation:
I know bc i did this before
Answer:
72 unit cubes (72 units³)
Step-by-step explanation:
[tex]6\times3\times4=72[/tex]
Khan khan khan khan
Answer:
11
Step-by-step explanation:
it says motor cycles combined with garbage so add both of them then subtract that from the bull dosers
motor =18
garbage=4
18+4=22
bulldosers=11
22-11= 11 more
Answer:
11
Step-by-step explanation:
3. The ratio of the side lengths of a pentagon is 1:3:4:6:9, and the perimeter is 115 yds. What is the measure of the 3rd longest side?
Answer:
20 yards
Step-by-step explanation:
By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x
We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.
We can solve that for x, so we can find each side measurements' numerical value.
(1+3+4+6+9)x=115
(23)x=115
x=115/23
x=5
So the side measurements are:
1x=1(5)=5
3x=3(5)=15
4x=4(5)=20
6x=6(5)=30
9x=9(5)=45
The third longest sife is 20 yards.
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
-5p+3
Step-by-step explanation:
-p-2-4p+5
-p-4p-2+5
-5p+3
The graph of g(x) is a parabola that opens upward with a vertex at (-3, 4). Which statement is true?
Can someone please help me with this? And please no links.
Answer:
1x + 15?
Step-by-step explanation:
can somebody help me
[tex](15f + 37f + 53 + 55)[/tex]
Answer:
(15f + 37f + 52 + 55) = ?
15f + 37f = 52f
52 + 55 = 107
So, (15f + 37f + 52 + 55) = 52f + 107.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Daily question: what is 5 to the 3rd power?
Answer:
125
Step-by-step explanation:
5 to the 3rd power means 5³
5³ = 5x5x5
= 125
Which of the following numbers is the SMALLEST?
(45 points)
Answer:
pretty sure its yellow sorry if its wrong
Step-by-step explanation:
Answer:
Hi! The answer to your question is C. 9 x [tex]10^{2}[/tex]
Step-by-step explanation:
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
Hope this helps!!
- Brooklynn Deka
Don't forget to click the add button so we can be friends ( ´･･)ﾉ(._.`)
The price of a cup of coffee was $2.10 yesterday. Today, the price rose to $2.45. Find the percentage increase. Round your answer to the nearest tenth of a
percent.
Answer:
16.6667% increase
Step-by-step explanation:
Percentage Increase=Final Value−Starting Value|Starting Value|×100
Answer:
17%
Step-by-step explanation:
The increase is calculated as the difference between yesterday's price and today's price, hence $2.45 - $2.10 = $0.35
As a fraction of yesterday's price, the fraction is [tex]\frac{0.35}{2.10}[/tex], which reduces to [tex]\frac{1}{6}[/tex]. Expressed as a decimal fraction, this is 0.16... Shift the decimal point two places to the right to get the percentage increase of 16.6...%.
Since it said to round to the nearest tenth, rounding it makes the answer of 17.0% or 17% because since 6 is bigger than 10, we needed to round up and thus the answer is 17%.
