Answer:
$4,363.03
i hope i actually get this right because im doing a test right now in math class
Using the interest formulas, it is found that George will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.
Simple Interest:
[tex]E = Pit[/tex]
In which:
P is the principal, which is the amount invested.i is the interest rate, as a decimal.t is the time, in years.For American Bank, we have that [tex]P = 3250, r = 0.04, t = 8[/tex], hence:
[tex]E = Pit = 3250(0.04)(8) = 1040[/tex]
Compound interest:
[tex]E = P[(1 + r)^t - 1][/tex]
For Liberty Savings, we have that [tex]r = 0.0375[/tex], hence:
[tex]E = P[(1 + r)^t - 1] = 3250[(1.04)^8 - 1] = 1198[/tex]
1198 - 1040 = 158.
He will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.
For more on interest formulas, you can check https://brainly.com/question/25781328
A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm?
18 cm?
B
10 cm
А
5 cm
Work out the volume of cylinder B.
Answer:
Volume of B is 360 [tex]cm^{3}[/tex]
Step-by-step explanation:
It can be observed in the question that the dimensions of cylinder B are twice the dimensions of cylinder A, since both are similar.
Height of B = 2 x height of A
= 2 x 5
= 10 cm
cross sectional area of B = 2 x cross sectional area of A
= 2 x 18
= 36 [tex]cm^{2}[/tex]
Thus,
Volume of B = cross sectional area x height
= 36 x 10
= 360 [tex]cm^{3}[/tex]
Volume of B is 360 [tex]cm^{3}[/tex].
Help show your work to
Answer:
1/3 + 1/4 = ?
(1/3 x 4/4) + (1/4 x 3/3)=?
I multiplied like so in order to get equal denominators
4/12+3/12=7/12
Step-by-step explanation:
Find (fºg)(1)
f(x) = x² - 1
g(x) = √x
A.0
B.1
C.4 √2
D. √8
Given:
The function are
[tex]f(x)=x^2-1[/tex]
[tex]g(x)=\sqrt{x}[/tex]
To find:
The value of [tex](f\circ g)(1)[/tex].
Solution:
We have,
[tex]f(x)=x^2-1[/tex]
[tex]g(x)=\sqrt{x}[/tex]
We need to find the value of [tex](f\circ g)(1)[/tex].
[tex](f\circ g)(1)=f(g(1))[/tex] [tex][\because (f\circ g)(x)=f(g(x))][/tex]
[tex](f\circ g)(1)=f(\sqrt{1})[/tex] [tex][\because g(x)=\sqrt{x}][/tex]
[tex](f\circ g)(1)=f(1)[/tex]
[tex](f\circ g)(1)=(1)^2-1[/tex] [tex][\because f(x)=x^2-1][/tex]
[tex](f\circ g)(1)=1-1[/tex]
[tex](f\circ g)(1)=0[/tex]
The value of [tex](f\circ g)(1)[/tex] is 0.
Therefore, the correct option is A.
Please help ASAP I need this as soon as some one can help please
GUYSSSS PLEASEEEEEEEEEE HELP!!!!!! Your friend is using Descartes’ Rule of Signs to find the number of negative real roots of [tex]x^{3} +x^{2} +x+1=0[/tex]. Describe and correct the error. Correct answer will get brainliest.
Answer:
your answer should be a
Step-by-step explanation:
Tanisha plans to invite 24 people to a snack. Each package contains 8 invitations. How many invitation packages should you buy?
Answer: 3
Step-by-step explanation:
From the question, we are informed that Tanisha plans to invite 24 people to a snack and that each package contains 8 invitations.
The number of invitation packages that should be bought will be the number of people to be invited divided by the invitations in each package. This will be:
= 24/8
= 3 invitation packages
.John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. A. Write an inequality to represent this story, using b to represent the number of books John buys. B. Solve the inequality, showing each step of your work. C. In complete sentences, explain what the solution means in the context of the story
Answer:
The required inequality is [tex]40-6b\leq 10[/tex].
Jhon can buy at most 5 books.
Step-by-step explanation:
Consider the provided information.
Part(A)
Let b represent the number of books John buys.
He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.
[tex]40-6b\leq 10[/tex]
The required inequality is [tex]40-6b\leq 10[/tex].
Part(B)
[tex]40-6b\leq 10[/tex]
[tex]-6b\leq 10-40[/tex]
[tex]b \leq\frac{30}{6}[/tex]
[tex]b\leq 5[/tex]
Part(C): Jhon can buy at most 5 books.
At a basketball game, 65% were supporting the home team, while 35% were supporting the visiting team. If 882 attending the game supported the visiting team, what was the total number of people at the game
Answer: 2520
Step-by-step explanation:
Given: Number of people supported the visiting team = 882
Let x = Total number of people at the game.
As per given,
35% of x = 882 [35% were supporting the visiting team]
[tex]\Rightarrow\ 0.35x=882\\\\\Rightarrow\ x=\dfrac{882}{0.35}\\\\\Rightarrow\ x= 2520[/tex]
Hence, the total number of people at the game = 2520 .
(2y+3)6
what number is being distributed?
Need an answer fast PLEASE
picture help meeee pleaseeeeeeeee
Answer:
first three terms are 3, 6, 9 and the 10th one is 30
Step-by-step explanation:
Answer:
3, 12, 27 and 300
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the n th term formula
3(1)² = 3 × 1 = 3
3(2)² = 3 × 4 = 12
3(3)² = 3 × 9 = 27
The first 3 terms are 3, 12, 27
Substitute n = 10 into formula for 10 th term
3(10)² = 3 × 100 = 300
what is the equation of the blue line?
The answer y = 3x-7 / y = 3(x-4)+5 is wrong
Answer:
y = 4x -3
Step-by-step explanation:
Here, we want to get the equation of the blue line
As we can see, the y-intercept is -3
So we have the equation as;
y = mx -3
To get the value of m which is the slope , we check for any point on the line
That would be;
(1,1)
Let us have this substituted;
1 = m(1) - 3
1 = m -3
m = 1 + 3
m = 4
so the equation of the straight line is;
y = 4x -3
You and your friend skate at the same rate. You complete 8 laps in 13 minutes. How long does your friend take to complete 16 laps?
Whats an equation in the form of y=ax+b ?
Answer: Slope-Intercept
please help me ill give brainlest
Answer:
(0,0) and (2,8)
Step-by-step explanation:
John wants to measure the height of the tree in his yard. He stands so that the top of his shadow matches up with the top of the tree’s shadow. John is standing 14 meters from the tree and his shadow is 2 meters long. If John is 1.75 meters tall, how tall is the tree?
Answer:
hi
Step-by-step explanation:
hi
.
Simplify 1826.00 - 338.12.
Answer:
1487.88
Step-by-step explanation:
Because you have to line the decimals up to make sure you have the correct answer
MATH HELP!! MARKING BRAINLISEST!! :DD
Answer:
3
Step-by-step explanation:
9514 1404 393
Answer:
3, -1
Step-by-step explanation:
The slope formula is ...
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...
[tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]
The first blank shown is filled with x2 = 3.
The second blank shown is filled with x1 = -1.
there are 120 students in a school marching band. they march in an array with the same number of students in each row. what are the dimensions of the different arrays that the band can form?
Answer:
20 X 6
Step-by-step explanation:
20 X 6 = 120 I'm not smart but this is pretty easy
. What is 95% of 180?
Answer:171
Step-by-step explanation:
Solution
=95/100×180
=171
If you found my answer useful then please mark me brainliest.
Evaluate please I need helppppp
Answer:
-5 sorry if it's wrong. I tried.
Answer:
-5
Step-by-step explanation:
sin( X+Y ) = cos( X−Y ) = 1,
find the value of X and Y.
answer x = 225 and y = -135
Step-by-step explanation:
x+y = 90 and x= 90-y and x -y = 360 so 90-y -y = 360
A person invests 9000 dollars in a bank. The bank pays 4.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12600 dollars?
A=P(1+nr)nt
Answer:
The time required to get a total amount of $ 12,600.00 from compound interest on a principal of $9000 at an interest rate of 4.75% per year and compounded 4 times per year is 7.1 years.
Step-by-step explanation:
Given
Principle P = 9000 dollars
Rate r = 4.75% = 0.0475
Total Amount A = 12600 dollars
compounded quarterly n = 4
To determine:
Time t = ?
Using the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
solving the equation for 't'
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(12,600.00/9,000.00) / ( 4 × [ln(1 + 0.011875/4)] )
t = 7.1 years
Therefore, the time required to get a total amount of $ 12,600.00 from compound interest on a principal of $9000 at an interest rate of 4.75% per year and compounded 4 times per year is 7.1 years.
What is the area of rectangle RSTU? Show step by step!
Plz help me and solve this ASAP! Solve ASAP! Plz! Thank you!
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
If the simple interest on $4000 for years is $3600, then what is the interest rate?
Answer:
90%
Step-by-step explanation:
Work out 5 2 − 3 × 2 × 5 3 ÷ 1 2 3
Answer:
the answer is 49.41463415
Step-by-step explanation: Brainliest please
Between which two integers is the square root of 275?
13 and 14
14 and 15
15 and 16
16 and 17
Answer:
None
Step-by-step explanation:
A square root has to be two of the same number
please help, would be greatful!
Answer:
8.2 cm
Step-by-step explanation:
[tex] \cos \: 47 \degree = \frac{h}{12} \\ \\ h = 12 \cos \:47 \degree \\ \\ h = 12 \times 0.6819983601 \\ \\ h = 8.18398032 \\ \\ h \approx \: 8.2 \: cm[/tex]
giving 20 points pls help me asap
Answer:
fishy camera
Step-by-step explanation:
most distance in feet from surface
The fish camera is furthest from the surface of the water.
The area of the square is 100 square centimeters. What is its perimeter
Answer:
200
Step-by-step explanation:
200
Answer: 40 c
Step-by-step explanation:
Find the coordinates on f the point where y-4x=1 crosses the axis
Answer:
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
Step-by-step explanation:
Intercepts of a Function
Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:
y = f(x) = 0
The intercepts with the y-axis can be found by calculating
f(0)
We are given the function
y - 4x = 1
To find the x-intercepts, set y=0:
0 - 4x = 1
Solving:
[tex]x = -\frac{1}{4}[/tex]
For x=0:
y - 4*0 = 1
y = 1
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]