Nathan has $40 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will he earn in 1 year?
Use the formulai = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and is the time in years.
Submit
Answer:
He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.
Step-by-step explanation:
sorta need answer asap
Wren and Jenni are reading the same book. Wren is on page 12 and reads 3 pages every night. Jenni is on page 7 and reads 4 pages every night. After how many nights will they have read the same number of pages? How many pages will that be?
Answer:
After 5 nights they will have read the same number of pages. It would be 27 pages.
Step-by-step explanation:
12+3x=7+4x
12=7+x
5=x
12+3(5)=27
7+4(5)=27
Hope this helps!:)
The ratio of cats to dogs at an animal rescue is 70:63. If the ratio were to stay the same, how many dogs will there be if there are 10 cats?
Answer:
There are 9 dogs
Step-by-step explanation:
[tex] \frac{10}{x} = \frac{70}{63} \\ x = \frac{630}{70} \\ x = 9[/tex]
HELP PLEASE WILL LEAVE GOOD REVIEW.
Answer:
Step-by-step explanation:
He needs 2.5 cm of ribbon left or in easier words 6 cm..-
In need help with this
look at picture
Complementary angles
Answer:
x = 28
Step-by-step explanation:
x + 40 + 22 = 90 {Complementary angles}
x + 62 = 90
x = 90 - 62
x = 28
Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.
Step-by-step explanation:
Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.
Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.
=> (0) = a[(40) - 10]² + 30
=> 900a + 30 = 0, a = -1/30.
Hence the rule is y = -(x - 10)²/30 + 30.
using number line write the integer which 5 more than -3
Answer:
x = 2
Step-by-step explanation:
We need to write an integer that is 5 more than -3.
Let the integer be x.
So,
x = 5+(-3)
x = 5-3
x = 2
Hence, the required integer be 2.
Please help me with this question
Answer:
An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2
Step-by-step explanation:
plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2
Multiply the sum 5 and 3 and the sum of 8 and 9
Answer:
8 x 17 = 136 give me brainliest
Step-by-step explanation:
Three students snow shoveled driveways and sidewalks after the last snow
storm. They earned a total of $210. If they split the money evenly how much
did each student recelve?
Answer:
Each student receives $70 dollars each.
Step-by-step explanation:
A student organization at a local college posted a poll on its website. After a semester, the results were tallied, and it was found that 95% of the respondents were in favor of raising fees to increase funding for student organizations. This conclusion was based on data collected from 5000 votes cast on the website. Which sampling technique is being used
Answer: voluntary response sampling
Step-by-step explanation:
Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.
A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.
Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.
Recall the equation for a circle with center (h, k) and radius r. At what point in the first quadrant
does the line with equation y = 2x + 4 intersect the circle with radius 3 and center (0, 4)?
Answer:
[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]
Step-by-step explanation:
Recall that the equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Then for a center of (0, 4) and a radius of 3, our equation is:
[tex]x^2+(y-4)^2=9[/tex]
We want to know at what point does the circle intersect with the line:
[tex]y=2x+4[/tex]
Therefore, we can solve for x. To do so, substitute the linear equation into the circle equation:
[tex]x^2+((2x+4)-4)^2=9[/tex]
Simplify:
[tex]x^2+(2x)^2=9[/tex]
Square:
[tex]x^2+4x^2=5x^2=9[/tex]
Divide both sides by 5:
[tex]\displaystyle x^2=\frac{9}{5}[/tex]
Therefore:
[tex]\displaystyle x=\pm\frac{3}{\sqrt{5}}=\pm\frac{3\sqrt{5}}{5}[/tex]
In QI, x is always positive, so we only need to consider the positive case:
[tex]\displaystyle x=\frac{3\sqrt{5}}{5}[/tex]
Using the linear equation again, we can see that:
[tex]\displaystyle y=2\Big(\frac{3\sqrt{5}}{5}\Big)+4=\frac{6\sqrt{5}}{5}+4[/tex]
Therefore, the point in which a circle with center (0, 4) and a radius of 3 intersects the line with equation y = 2x + 4 in the first quadrant is the point:
[tex]\displaystyle \Big(\frac{3\sqrt{5}}{5},\frac{6\sqrt5}{5}+4\Big)[/tex]
Or approximately:
[tex]\approx (1.342, 6.683)[/tex]
And we are finished!
It takes 6 labourers 7 days to complete a job. How many labourers would it take to complete the job in 3 days?
I
labourers
Answer:
12 or 13
Step-by-step explanation:
14 labourers complete the job in 3 days.
What is the ratio?The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Given data as :
It takes 6 labourers 7 days to complete a job,
Amount of work completed by 6 labourers over 7 days = 1
∵ Six labourers completed part of the work in one day = 1/7
∴ one labourers completed part of the work in one day = (1/6)(1/7) = 1/42
Let x number of labourers complete the job in 3 days.
x × 3 ×(1/42) = 1
x = 42/3
x = 14
Hence, 14 labourers complete the job in 3 days.
Learn more about the Ratio here :
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Help please I will give Brainliest
Answer:
Reduce the expression, if possible, by eliminating common factors.
Exact form:
1/30
Decimal form:
0.03
Cody put 4 plates on the table. He put 1 Apple on each plate.what number sentence can be used to find the total number of apples on the table?
Tasha graphs a star with one tip at point S(-3,1). What are the coordinates of the corresponding point after a 90 rotation about the origin?
Answer:
(-1,-3)
Step-by-step explanation:
6/7 into two decimal places.
Answer:
0.86
Step-by-step explanation:
You will get 0.85714.....
Then 0.86 is 2 dp
The coefficients in the expansion of (x + y)^6 are
Answer:
Polynomial Degree:
6
Leading Term:
x⁶
Leading Coefficient:
1
Answer:
Step-by-step explanation:
hello :
here is an solution
. Which is bigger 35% of £260 or 45% of £220?*
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
Read more about exponential functions at:
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Use summation notation to write the series -1 + 2 + 5 + 8 + 11... for 10 terms, then evaluate the sum.
Answer:
-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26
10 terms
sum = 125
PLEASE HELP!!
How do I solve this?!?!?
Answer:
id say just try your best or guess
Step-by-step explanation:
ouu try to put it in a calculator but uhm my answer would be a
1. The ratio of Allison's weight to Brett's weight was 4:5. If Allison's weight
increased by 5 lbs. and Brett's weight decreased by 1
Answer:
the ratio would be 9:4 because you just add
Step-by-step explanation:
just add the rstio
What is the value of x?
Answer:
i just want the points
Step-by-step explanation:
i just want the points
You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 15 years?
Answer:
$700
Step-by-step explanation:
400 x .05=20
20x15=300
300+400=700
Need do find the domain and range
Answer:
So
Domain: (-∞,∞)
Range: [[tex]-\frac{105}{8} ,[/tex]∞)
Step-by-step explanation:
Answer:
Domain: (-∞,∞)
Range: [-105/8,∞)
Step-by-step explanation: Hope this helps.
Consider the graph of the function
f(x)=2^x
Answer:
D. The y-intercept is at (0,2)
Step-by-step explanation:
f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x
In the exponential function ab^x a is the y-intercept (in this case a is 2)
Y-intercept of g(x) at (0,2) which is correct option(D).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
f(x) = 2ˣ
g(x) = 2f(x) = 2(2ˣ)
The y-intercept of g(x) = 2f(x),
Substitute in 0 for x and solve for y
y=2(2⁰)
Anything raised to 0 is 1 .
y=2
Y-intercept in point form.
Hence, y-intercept of g(x) : (0,2)
Learn more about Graph here :
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what is the rate of change for (2,1), (4,2), (6,3), (8,4)
Answer:
x+2 y+1
Step-by-step explanation:
or do u want working out
Coordinate double equation
Answer:
????
Step-by-step explanation: