Answer:
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.
Step-by-step explanation:
Given
Principle P = $2600
Interest rate r = 7% = 0.07
Time period t = 13 years
Compounded annually means: n = 1
To determine
Accrued Amount = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
substituting P = 2600, r = 0.07, t = 13, n = 1
[tex]A\:=\:2600\left(1\:+\:\frac{0.07}{1}\right)^{1\left(13\right)}[/tex]
[tex]A=2600\left(1+0.07\right)^{1\cdot \:13}[/tex]
[tex]A = 6266[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 2600 at a rate of 7% per year compounded 1 time per year over 13 years is $ 6266.
Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns $3 more per hour than gabe
Answer:
- Gabe earns 13.5 per hour
x ------------------ 4 ---- 8 --------- 12 ------ 16
Earnings ----- 57 ---- 111 ------- 165------ 219
Step-by-step explanation:
What is the solution set to this equation?
log4(x-3) + log4(x+3)=2
A. x = 5
B. x = 16
C. x = -5 and x = 5
D. x = -16 and x = 16
Answer:
c
Step-by-step explanation:
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A log function is a way to find how much a number must be raised in order to get the desired number. The correct option is A.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
The solution set of the given equation can be found as shown below.
log₄(x-3) + log₄(x+3)=2
log₄[(x-3)(x+3)] = 2
Taking antilog,
(x-3)(x+3) = 4²
(x-3)(x+3) = 16
x² - 3² = 16
x² = 16 + 3²
x² = 25
x = ±5
Substitute the value of x as -5 and 5, to verify if the equation is verified.
The only value for which the equation is satisfied is 5.
The above solution can be verified by plotting the graph.
Learn more about Logarithm:
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SOMEONE PLEASE HELP ME!!!!!!
In a sixth grade class at Lincoln Middle School, there are 3 boys for every 4 girls in the class.
Fill in the blank: The ratio of boys to girls in the class is __________.
If there are between 20 and 30 students in the class, what could be the actual number of boys and girls in the class?
Answer:
There are multiple possibilities. One is there are 12 boys, and 16 girls. 12+16= 28 which is between 20 and 30. That would be 12:16, which can be simplified to 3:4. There is also 9 boys, and 12 girls. that would be 9:12, which can be simplified to 3:4. Also, 9 + 12 = 21, which is between 20 and 30.
How far up will a 15-foot long ladder reach on a vertical wall if its end is placed 6 feet from
the base of the wall?
15 feet
1)12.87 ft
2)13.22 ft
3)13.75 ft
4)14.13 ft
Answer:
3) 13.75 ft
Step-by-step explanation:
You have to square the whole equation (15^2 - 6^2) and you’ll get 13.7477 round that and you get answer 3
thats as well as I can explain it, I’m no teacher. :)
which expression results from using the Distributive Property? 6(x+4)
Answer:
6x + 24
Step-by-step explanation:
Distributive property means that multiply the bracket multiplies each part inside and keeps the signs the same:
6 * x = 6x
6 * 4 = 24
Answer:
6x+24
Step-by-step explanation:
6(x+4)
Distribute the 6 to each term inside the parentheses
6*x + 6*4
6x+24
Evaluate the following expression when x = 6 and y = 2:
Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
(3 points)
Group of answer choices
2.25
5.5
17.25
27.5
Flag this Question
ik im late but..
Option B would be the correct answer.. 5.5 basically
Answer:
I agree with the other person. I answered with the exact same answer so yes it is indeed 5.5!
Step-by-step explanation:
What is the area of the triangle
Answer:
The area of the triangle:
=1/2×base×height
=1/2×2×2
=2 units²
2 units² is the right answer.
Answer:
Area = 2
Step-by-step explanation:
A= base x height/2
base = 2
height = 2
2 x 2 = 4
4/2 = 2
Hope this helps! Have a great day/night
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Write an equation representing the number of calories Tristan has burned with respect to the number of minutes since he and Keith started exercising.
Answer:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute.The equation for Gwen is
y = 100 + 10x
Question 2)`Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Question 3)Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith isy = 10x
Step-by-step explanation:
Answer this question pls
Answer:
16
Step-by-step explanation:
First you subtract 12 by 8, which equals 4. The cube root of 4 is 64, 4 x 4 x 4. Now multiply 24 and 2 together to get 48. Subtract 64 by 48 to get 16.
Hope this helps! :DD
Answer:
16 ;)))))))))))))))))
help thankyou
jjahahaahahahah
Answer:
16
Step-by-step explanation:
9 + 7 = 16!
What angle is this someone please help
Brody measured worms for a science project. One worm 1 2/3 inches and the other was 6/8 of an inch. WHAT is the difference
Answer:
1 2/3-6/8=11/12
Step-by-step explanation:
convert to a common denomitor.
1 2/3= 1 8/12
6/8= 9/12
1 8/12-9/12=11/12
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
Not proportional.
Step-by-step explanation:
The values do not begin from a straight line at the origin. X begins at 2, not the origin.
At the beginning of the day, the stock market goes down 70 3/4 points and stays at this level for most of the day. At the end of the day the stock market goes up 120 1/2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer:
The stock market is up 49.75 for the day.
Step-by-step explanation:
-70.5 + 120.25 = 49.75
Suppose that the functions r and s are defined for all real numbers x as follows.
Answer:
a) ( r+ s) (x) = 3 x + 9
b) ( r . s ) (x) = 2 x² + 13 x +20
c) ( r- s) (x) = -1 -x
Step-by-step explanation:
Step(i):-
Given that r(x) = x +4 and s(x) = 2x + 5
a) ( r+ s) (x) = r(x) + s(x)
= x +4 + 2x +5
= 3 x + 9
( r+ s) (x) = 3 x + 9
b)
( r . s ) (x) = r(x) . s(x)
= (x+4) . ( 2x +5)
= x ( 2x +5) + 4( 2x +5)
= 2 x² + 5 x + 8 x +20
= 2 x² + 13 x +20
( r . s ) (x) = 2 x² + 13 x +20
c)
( r- s) (x) = r(x) - s(x)
= (x+4 - ( 2x +5)
= x +4 - 2x -5
= -x -1
( r- s) (x) = -1 -x
Denise bought a T-shirt at the sale price of $24. The original cost of a T-shirt was $40. What percent represents the discount that Denise received when buying the T-shirt?
Answer:
Step-by-step explanation:
we subtract to find how much they saved, 40-24=16
now we divide 16 by 40 to get the percent 16/40 = 0.4
40%
help fastt!!
> AA.3 Area of triangles and trapezoids ENE(IXL)
What is the area?
5 yd
8 yd
square yards
(click the photo)
also could someone explain how you get the area of these?!?
Answer:
Area of triangle = 20 square yards
Step-by-step explanation:
The height of triangle = 5 yd
The base of triangle = 8 yd
We need to find area of triangle.
The formula used is: [tex]Area\: of\: triangle=\frac{1}{2}\times base \times height[/tex]
Putting values and finding area
[tex]Area\: of\: triangle=\frac{1}{2}\times base \times height\\Area\: of\: triangle=\frac{1}{2}\times 8 \times 5\\Area\: of\: triangle=4 \times 5\\Area\: of\: triangle=20\:square\:yards[/tex]
So, Area of triangle = 20 square yards
Sadie swam x laps in the pool. Eric swam 3/5 more than that. Draw a diagram
Answer:
What you need to do is put two bars. do 100% of the bar is sadie. then do 3/5 for eric. put their names bellow the bar thats theirs. You dont need to find the amount sadie has.
help me I'm struck it to hard I dont get it
please help quick jk take all the time you need
Answer:
5: 0.09, 5/8, 70%, 0.80 6: 27 7: 72 8: 85 9: 16 10: a-20 b-60
Step-by-step explanation:
9 35% of the students at Charles Drew Middle School are 6 graders. If there are 84 sbxth graders, what is the total number of students in the school? Show your work, and explain your answer. (2 points) A 190 students B 350 students C 29 students D 240 students
Answer:
Step-by-step explanatio
What is the equation of the line in slope-intercept form?
Answer:
The answer is
[tex]y = x - 4[/tex]
▪Happy To Help <3
Answer:
y= 2/2x + -4
Step-by-step explanation:
:)
Simplify.
2+35x−1−15x
A. 1+25x
B. 3+25x
C. 3−45x
D. 1−25x
Answer:
1+20x
Step-by-step explanation:
Because the given should be included on above options. That's insufficient options or wrong answer given.
After hearing of the national result that 44% of student engage in binge drinking (5 drinks at a sitting for men, 4 for women), a professor surveyed a random sample of 244 students at his college and found that 96 of them admitted to binge drinking in the past week. Should he be surprised at this result
Answer:
Should he be surprised at this result
The found proportion is 1.56 standart deviations away from the expected. we should no be surprised .
Step-by-step explanation:
p=0,44
q=1-0.44=0.56
u=p=0,44
o=[tex]\sqrt{pq/n}[/tex]=[tex]\sqrt{(0.44)(0.56)/244}[/tex] = 0.032
proportion of students in binge drinking 96/244 = 0.39
The found proportion is 1.56 standart deviations away from the expected. we should no be surprised .
PLS HELP ON THIS DIAGNOSTIC
Answer:
82
Step-by-step explanation:
(325-120)/2.5=2050/25=82
=>82 students attended the dance
Subtract 120 from the total:
325 - 120 = 205
Divide 205 by price per student:
205 / 2.50 = 82
There were 82 students.
PLEASE ANSWER WILL GIVE BRAINLIST
Find the unit rate.
21 grams of fat in 7 servings
Is 1 bigger then 1.625 just asking
Plz help i will give 70 points
SW= MP
RV=DL
LAst one is
AN= KG
this pointed in a differ direction fix it the the same direction as the top one.
like number 1: SW is similar MP because then are similar but just differ letters hope that helps.
+5+4+2-54+39+0+020+3+4+4+2+5+6+7+7+8+8=
Answer:70
Step-by-step explanation:
A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and they made $3,360. Write a system of equations that matches the situation
Answer:
x+y=28
70x+140y=3360
8 cats, 20 dogs were sold
Step-by-step explanation:
Let x=cats y=dogs
We know that a total of 28 pets were sold which means that
x+y=28
We also know that they made 3360 which means that
70x+140y=3360
It doesn't really say if you need to solve this but I will anyways
We use the first equation (x+y=28) and subtract 28 and y from both sides to get
x-28= -y we can then divide both sides by -1 so y can be a positive
-x+28=y
This is what y equals in terms of x and so we can plug this in for y in the second equation
70x+140(-x+28)=3360
Distribute the 140 and get
70x-140x+3920=3360
Add like terms and subtract 3920 to get
-70x=-560
divide both sides by -70 and get
x=8
We now know that 8 cats were sold and can plug this value into any equation to solve for y ( I will be using the first one because that's easiest)
8+y=28
subtract 8 and get
y=20
A system of equations that matches the situation is:
1) d + c = 28.................Equation 1
2)140d + 70c = 3360............Equation 2
This question has to do with Algebraic equations.
Let's represent
Number of dogs = d
Number of cats = c
A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and they made $3,360.
We have two algebraic systems of equations for the above statements
1) d + c = 28.................Equation 1
2) $140 x d + $70 x c = $3,360
140d + 70c = 3360............Equation 2
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