Answer:
26 is the quotient
Step-by-step explanation:
7 * 26 = 182
im not good at explaining but that's the answer
Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.
Using compound interest, it is found that Blake receives an annual rate of 4.27%.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.Ivan's parameters are given by:
Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.Hence:
[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]
[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]
Blake's parameters are given by:
Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]Thus:
[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]
These amounts are equal, hence:
[tex]A_i(t) = A_b(t)[/tex]
[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]
[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]
[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]
[tex]0.12367872103r = 0.01057023172 [/tex]
[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]
[tex]r = 0.0854[/tex]
Blake's rate is:
[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]
Blake receives an annual rate of 4.27%.
A similar problem is given at https://brainly.com/question/24507395
The sum of two consecutive even numbers is 54 find the answer
Answer:
26, 28
Step-by-step explanation:
2n , 2n + 2
2n + 2n + 2 = 54
4n + 2 = 54
4n = 52
n = 13
2n = 26
2n + 2 = 28
Answer:
26 and 28Step-by-step explanation:
The sum of two consecutive even numbers is 54 find the answer
(54 - 2) : 2 = 26
26 + 2 = 28
----------------------
check
26 + 28 = 54
Can someone help:(( graph y=2x
Answer:
Look at the attached screenshot
Step-by-step explanation:
Slope is 2.
Since y-intercept is not given, we can assume that it is 0.
Answer:
Step-by-step explanation:
Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:
x y
0 0
2 4
3 6 (and so on).
Plot this (0, 0) (it's the origin). Next plot either (2, 4) or (3, 6) (or both). Then draw a line through these points.
The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour
Answer: 3pi
Step-by-step explanation:
Guessed and it was right, sorry don’t have an explanation.
The rate of change of the area of the circle at that instant in square meters per hour will be 3π.
What is the rate of change?The pace at which one quantity changes in relation to another is known as the rate of change function.
Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.
The rate of change of circumference will be calculated as,
dc/dt = π/2
d (2πr)/ dt = π / 2
dr / dt = 1 / 4
The rate of change in the area,
A = πr²
dA / dt = ( 2πr ) dr / dt
dA/dt = 12π x ( 1 / 4)
dA/dt = 3π
Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.
To know more about rate of change follow
https://brainly.com/question/14282291
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in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Answer:
Slope = -3/2
Step-by-step explanation:
[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]
[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]
-Chetan K
Find the measure of the indicated angle.
Answer:
11) x = 21
12) x = 110
13) x = 85
14) x = 137
Step-by-step explanation:
Hope it helped <3
Sub :- Linear Equations
Hiiiiiiiiiiiii
The value of x is 1 & y is 2 (a).
Steps are attached.
______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left? please answer the question without a link
Answer:
14
Step-by-step explanation:
First fond 40% of 20
20×40/100 = 8
So now there is a total of 20+8 =28
At the store you spend exactly half
28×50/100 =14
So now you are left with 28-14 =14
URGENT HELPP
I need to:
think the difference between what occurred and what you would expect by chance is statistically significant. Explain
Of the 40 students in your mathematics class 35 have the same last name.
Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
There were 3 full pizzas sitting on a counter. If Joe ate ¼ of a pie, Rhonda ate ⅜ of a pie, and Chris ate 4 slices, how many slices of pizza were left? (Assume each pie is cut into 8 slices.)
Answer:
15 slices
Step-by-step explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
there are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 slices total
subtract 9 (that’s what was consumed) from 24.
24-9 = 15
I hope it helps.
SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST ‼️‼️PLEASE ‼️‼️
How is a trapezoid different from a rectangle?
A. It’s is not a closed polygon
B. It has five legs and a diagonal
C. It has one pair of parallel sides
D. It has all pairs of parallel sides
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A can't be right because rectangles and trapezoids are both closed polygons.
B can't be right because both shapes can't even have 5 legs.
C is right because triangles only have one pair of parallel sides and rectangles have two pairs.
D trapezoids don't have two pairs of parallel sides because two sides intersect eventually.
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
without looking delores took a handful of multi colored candies from a bag and found that 40% of the candies were yellow. suppose that there are 375 candies in the bag. How many can she expect to be yellow?
Answer:
150
Step-by-step explanation:
grace was born in 1995. how old will she be in 2027
Answer:
12
Step-by-step explanation:
2007 - 1995
8i
−8
8i2
−8i
NO LINKS
Answer:
Step-by-step explanation:
x² = -64
= -1 · 64
Using -1 = i²:
x² = 64 · i²
Using 64 = 8²:
x² = 8² · i²
= (8·i)²
Taking the square root of both sides:
x = 8i
Someone please solve and explain part a(i)
Step-by-step explanation:
the way I understand the description :
C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.
then, at B there is an antenna or other firm of mast going straight up.
therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).
but because it goes downhill from B to C the angle is 105 degree.
(a)(i)
now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?
this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.
what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.
(a)(ii)
the extended Pythagoras for not right-angled triangles :
c² = a² + b² - 2ab×cos(B)
B being the angle opposite of the Hypotenuse c.
so, we have
c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =
= 325 - 300×cos(105) = 402.6457135...
c = 20.06603383... ≈ 20 m
What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.
Answer:
[tex]a_{37}=249[/tex]
Step-by-step explanation:
A sequence that has a common difference is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, n is the index, and d is the common difference.
In your question:
n = 37a₁ = -39d = 8Plug those into the formula:
[tex]a_{37}=-39+(37-1)8[/tex]
Then solve:
[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]
Mika is making a beaded necklace. Each bead is a14inch cube.If the necklace is 18 inches long, how many beads will Mika need?
Answer: The answer is 4
Step-by-step explanation: 2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )
= 2g + 10 - 2g - 6
= 2g -2g + 10 - 6
= 0 + 4
= 4
Hope this helps!
Find the perimeter. Simplify the answer.
Answer:
34p-16
Step-by-step explanation:
Perimeter of parallelogram
= 2(9p-10)+2(8p+2)
= 18p-20+16p+4
= 34p-16
100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi
Answer:
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Answer: This is what I turned in and it was right :)
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $2,500. Now they have 54.750 in the account. What is the percent increase for the money the
dass has raised? The dass figured out that if there is a percent increase of 99% from the beginning of the year, they will have enough to pay for every student. How much money wil they need to pay for every student?
The percent increase is
They will need to pay for every student?
Answer:
21.6%
Step-by-step explanation:
find the length of x in the figure below. round your answer to 3 significant figure
Answer:
where is the figure? or tell us the area and width of the figure
Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2
Answer:
C. X-4
Step-by-step explanation:
x^2+x-20
=(x-4)(x+5)
Answer:
C.
Step-by-step explanation:
Sorry I Can't explain because I'm busy right now
What is the value of this expression?
1.5(−2.4+(−5.3))
−11.55
−4.35
4.35
11.55
Answer:
the answer is negative 11.55
Step-by-step explanation:
-2.4+-5.3=-7.7.
7.7(1.5)=-11.55
What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
Help ASAP ill give Brainly
PlS HELP ME
NO BOTS PLS
Answer: Use Gauth Math. What is the topic about?
Step-by-step explanation:
The mean age of 5 people in a room is 39 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
Answer:
21
Step-by-step explanation:
Mean is the average of the objects
With five people, the mean is the average age of these people so what did you divide 5 into to get 39.
5 × 39 = 195
After a person enter the room, total 6 in the room with a mean of 36.
6 × 36 = 216
Now the age of the person who entered the room 216 - 195 = 21
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Solve for bb.
42=42+9b
Answer:
0
Step-by-step explanation:
42=42+9b
We move all terms to the left:
42-(42+9b)=0
We add all the numbers together, and all the variables
-(9b+42)+42=0
We get rid of parentheses
-9b-42+42=0
We add all the numbers together, and all the variables
-9b=0
b=0/-9
b=0