Answer:
9+(4x2)*8+3^4(5^7)
Step-by-step explanation:
Answer:
The Collatz Conjecture. Dave Linkletter. ...
Goldbach's Conjecture Creative Commons. ...
The Twin Prime Conjecture. ...
The Riemann Hypothesis. ...
The Birch and Swinnerton-Dyer Conjecture. ...
The Kissing Number Problem. ...
The Unknotting Problem. ...
The Large Cardinal Project.
Step-by-step explanation:
Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial investment, Evan invests $10,000 in an account earning 7% interest, compounded annually for 7 years. Given that no additional deposits are made, compare the amount of interest earned after the interest period ends for each account. (round to the nearest dollar) A) Evan earned $820 more in interest in his account than Steven. B) Steven earned $820 more in interest in his account than Evan. C) Evan earned $1,249 more in interest in his account than Steven. D) Steven earned $1,249 more in interest in his account than Evan.
Steven earned $820 more in interest in his account than Evan.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter. The compound interest earned is given by the formula,
[tex]A_1 = P(1+\dfrac{r}{100})^n - P[/tex]
In order to compare the two of the given investment, we need to find the interest in each of the investments.
For the investment made by Steven of $20,000 at 3% interest compounded annually for 10 years. The interest that Steven made is,
[tex]A_1 = P(1+\dfrac{r}{100})^n - P\\\\\\A_1 = 20,00(1+0.03)^{10}-20,000\\\\\\A_1 = \$6,878.33[/tex]
For the investment made by Evan of $10,000 at 7% interest compounded annually for 7 years. The interest that Evan made is,
[tex]A_2 = P(1+\dfrac{r}{100})^n - P\\\\\\A_2 = 10,00(1+0.07)^{7}-10,000\\\\\\A_2 = \$6,057.82[/tex]
Now, if we find the difference in the interest earned by the two of the given person.
The difference in the interest earned
= Interest earned by Steven - Interest earned by Evan
= $6878.33 - $6,057.82
= $820.52 ≈ $820
Hence, Steven earned $820 more in interest in his account than Evan.
Learn more about Compound Interest:
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Q17 Look at this shape, the circle exactly fits into the square. If the length of the
square is 4cm then find the circumference of the circle.
Answer:
25.13
Step-by-step explanation:
Formular
= C = 2πr
C = circumference
r = radius
2 × 3.14 × 4
= 25.13
find the value of x please help
Answer:
x=52
Step-by-step explanation:
your triangle is 190 degrees so you take 107 away and get 83 then you subtract 31 and get 52
There are 60 students in a class. Out of the 60 students, there are 15 girls. Jill is the name of 5 of the girls.
What is the probability that a girl named Jill will be selected at random?
Mark all that apply.
A- 15/60
B- 1/12
C- 5/15
D- 5/60
E-1/3
Answer:
E or c
Step-by-step explanation:
The demometer is the maximum amount of the number of jills in the group so if 5 out of 15 in the group is named jill then turn it into a fraction like 5/15
But you could simplify by findin the similar factirs then dividing them by the equivalent amounts
Bob has 28 bars. He gives 7 bars to 4 friends each. How many bars did each friend get?
Answer:
7
Step-by-step explanation:
It says "he gives 7 bars" to each of 4 friends.
Answer:
7
Step-by-step explanation:
28/4 = 7
Each friend gets 7 bars
Have an amazing day!
PLEASE RATE!!!
pls pls pls help me i need this fast
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
The sum of three consecutive numbers is ninety - three
What is the smallest of the three numbers ?
Answer: 30
Step-by-step explanation:
Let the middle number = x. Then the three consecutive numbers are x - 1, x, and x + 1.
Therefore, x - 1 + x + x + 1 = 93
3x = 93
x = 31.
The smallest of the 3 numbers is x - 1 = 31 - 1 = 30
Use place-value blocks or a drawing to divide. Record remainders. 51 / 4
Answer:
12.75
Step-by-step explanation:
The first number, 51, is called the dividend.
The second number, 4 is called the divisor.
For Xin's lemonade recipe, 12 lemons are required to make 8 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The computation of the ratio shows that 45 lemons are needed to make 30 cups of lemonade.
How to solve the ratio?From the complete information, it should be noted that 12 lemons are required to make 8 cups of lemonade.
Therefore, the ratio in this scenario is 12/8 = 3:2. Therefore, when there are 30 cups, the number of lemons needed will be:
= 30 × 3/2
= 45
In conclusion, 45 lemons are needed to make 30 cups of lemonade.
Learn more about ratio on:
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An item on sale costs 95% of the original price. If the original price was $20, what is the sale price?
In an optical fibre, the power drops by a factor of 10 approximately every 30 km. If the transmit power is 0. 35 W, how far will a signal be transmitted before the power is attenuated to 350 μW?
Answer:
30000 kmStep-by-step explanation:
First convert the transmit power into μW, considering 1 W = 1000000 μW:
0.35 W = 0.35*1000000 μW = 350000 μWFind how many factors of 10 the power dropped:
350000 / 350 = 1000Find the distance:
1000*30 km = 30000 kmAt Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get? What proportion could be used to solve this problem?
Answer: 6
Step-by-step explanation:
2 free books7 purchased books=? free books21 purchased booksCompare the denominators.2 free books7purchased books=? free books21purchased booksTo get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.2 free books37 purchased books3=6free books21 purchased booksLarry got 6 free books
Adult racehorse weights are normally distributed, with a mean of 500 kg and a standard deviation of 33 kg. Approximately what percentage of the adult racehorses weigh more than 570 kg?
1.7%
98.3%
93.3%
0.12%
Which of the following sets contain only rational numbers?
Answer:
Option BStep-by-step explanation:
Option A
One of the numbers is not rational √50 = 5√2, since √2 is irrationalOption B
All numbers are rationalOption C
18π is irrational since π is irrationalOption D
0.1234... is irrational as non-terminating and non-repeating decimaldoes anyone have the answer for this i don't know if I'm right since I've been absent and missed half the lesson. I need it asap!
Answer:
Step-by-step explanation:
x = 20%
y = 3/4 x 64
= 16 x 3
= 48
answer is
Step-by-step explanation:
x = 20%
y = 3/4 x 64
= 16 x 3
= 48
In a certain Algebra 2 class of 20 students, 8 of them play basketball and 7 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
3/4
Step-by-step explanation:
add the students who play baceball and basketball together it will be your numerator
the total amount of students will be your denomanator
then simplify
by the way there can not be 23 students in a class that only has 20 kids so this answer may be wrong according to your wording
sorry
What is the solution set for the equation 8=x^2-2 x
Answer:
x=4,_2
Step-by-step explanation:
hope that help,good luck
i do not know this answer
Answer:
The attachment is it
What are all the steps to solving a Quadratic Formula? (steps please)
Compose the quadratic condition in standard shape, ax2 + bx + c = 0. Recognize the values of a, b, c. Write the Quadratic Equation. At that point substitute within the values of a, b, c. Simplify. Check the arrangements.
round to 2 SF 0.95205.
Answer:
0.95
Step-by-step explanation:
The points after the decimal place are SF (significant figures/digits)
Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?
⭒━━━━━━⭑━━━━━━⭒
Given :
Circumference = 29.8[tex] \\ [/tex]
To find:
[tex] \\ [/tex]
Radius of circle[tex] \\ [/tex]
Solution:-
[tex] \\ [/tex]
We know:-
[tex] \rm circumference = 2\pi r[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \looparrowright \sf circumference = 2\pi r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf 29.8= 2\pi r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf 29.8= 2 \times \dfrac{22}{7} \times r[/tex]
[tex] \\[/tex]
[tex] \looparrowright \sf \dfrac{298 \times7}{22 \times 2 \times 10} = r[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{149 \times7}{22 \times 10} = r[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{1043}{220} = r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf r = 4.74[/tex]
⭒━━━━━━⭑━━━━━━⭒
B᭄rainlyVIP ࿐ ㋛
Find X:
tangent, cosine or sine?
Answer:
x ≈ 2.76
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan78° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{13}{x}[/tex] ( multiply both sides by x )
x × tan78° = 13 ( divide both sides by tan78° )
x = [tex]\frac{13}{tan78}[/tex] ≈ 2.76 ( to 2 dec. places )
Find the area of the circle to the nearest tenth. Use 3.14 for π.
Answer:
37.7
Step-by-step explanation:
Area=cirumference.
to find circumference you will do 6*2 to get the diameter.
multiply that by 3.14
Answer:113m^2
Step-by-step explanation:
Ms. Pena is grading math tests. If 212 x 51 = 10,812, is the student’s work below correct? Explain
2.12 x 5.1 = 1.0812
3x + 2y = 7
y=-3x + 11
O
(6, -7)
° (
19
4,
2
(6,-3)
o
(5, -4)
A breakfast food company has decided to shrink the size of its cereal boxes by 5%
If the boxes currently hold 20 oz of cereal, how much less cereal will be contained in the new boxes?
Answer:
1oz
Step-by-step explanation:
5% as a decimal is .05
.05 x 20= 1
18 divided by (9-12divided by 4. )
Answer:
24
Step-by-step explanation:
here's how I did it:
first, start in parentheses, following the order of operations, PEMDAS.
12 - 9 = 3
now, divide 3 by 4.
3 / 4 = 0.75 ( 3 quarters )
lastly, divide the sum of the numbers in the parentheses by 18.
18 / 0.75 = 24
HELP ASAP(FIRST ANSWER GETS BRAINLIST)!
Answer:
I would say B, but can't be sure because is part of the question cut off?
Step-by-step explanation:
What angle does the minute hand of a clock spin through in 3 days?
Answer:
Step-by-step explanation:
Solution: The one full rotation of the minute hand on the clock represent one hour. So in 3 hours the minute hand will rotate 3 x 360 degrees or 1080 degrees or 6. 3 complete rotations with the minute hand at finish at the start of the three hours.
one number is 8 more than a second number. 4 times the first is 8 less than 6 times the second. find the numbers
The numbers are 20 and 28.
Step-by-step explanation:
Let the number be X and y,
X = 8 + y
4x = 6y - 8
Now,
4x = 6y - 8
or, 4(8 + y) = 6y - 8
or, 32 + 4y = 6y - 8
or, 32 + 8 = 6y - 4y
or, 2y = 40
so, y = 20
now,
X = y + 8 = 20 + 8 = 28
