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
I need helpppp with 1-9
this is the very last question I swear :-)
Answer:
x= (p+10)/5
Step-by-step explanation:
first you take the peaches and add 10, p+10, and then divide by 5
Answer:
(p + 10)/5
Step-by-step explanation:
7≥ 3x + 4 is it 4, 1, 2 or -1
Answer:
x≤1
Step-by-step explanation:
7≥3x+4
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.
3x+4≤7
Resta 4 en los dos lados.
3x≤7−4
Resta 4 de 7 para obtener 3.
3x≤3
Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.
x≤
3
3
Divide 3 entre 3 para obtener 1.
x≤1
Please help! (picture is linked)
Which of the following functions is quadratic?
O A. F(x) = 5^2
O B. f(x) = 2/x
O c. f(x)=3(x-4)(x+3)
O D. f(x) = 2x^3 + 3x^2 - 5
if u look at it and and which ones have more then u will get ur answer
Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.
The highest power of the variable x should be two.
f(x)=5² is not a quadratic function.
f(x) = 2/x is not a quadratic function.
f(x)=3(x-4)(x+3)
Let us simplify the function
f(x)=3(x²+3x-4x-12)
=3(x²-x-12)
f(x)=3x²-3x-36
So f(x)=3(x²+3x-4x-12) is a quadratic function.
Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
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Write equations for the horizontal and vertical lines passing through the point (1,7) .
Answer:
horizontal line: y = 7
vertical line: x = 1
Step-by-step explanation:
The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.
Answer:
A. True
B. True
C. False
D. True
E. False
Step-by-step explanation:
A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs
B. True, as y = f(x)
C. False, as there is no exponents
D. True, as if x=1, you lose 2 points
E. False, as x is the number of wrong problems
2-(-4)/0-2
What is the answer?
Answer:
the would be m=4
Step-by-step explanation:
If 43 liters of water are enough to water 25 of the plants in the house, how much water is necessary to water all the plants in the house? Write a multiplication equation and a division equation for the situation, then answer the question. Show your reasoning.
Pls help will give 10 pts
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
NEED HELP show your work
Simplify the expression √8x^5 / z1
Answer:
3/4
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x Please show work !
Answer:
x=[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x
4x/2x - 5 × 4x = 10 × 4x - [tex]\frac{3 x 4x}{4x}[/tex]
2 -5 × 4x = 10 × 4 - 3
2 - 20x = 40x - 3
-20x - 40x = -3 - 2
-60x = -3 - 2
-60x = -5
x = [tex]\frac{-5}{-60}[/tex]
x = [tex]\frac{1}{12}[/tex]
. A man bought a car for $60 800. After one year, it was worth $51 680. What is its depreciation as a percentage of the selling price?
Answer:
c 3
Step-by-step explanation:
Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answer:
ssss
Step-by-step explanation:
dddd
Naomi’s recipe for baked beans calls for 715 cup of kidney beans. Each can of kidney beans holds 145 cups. How many cans of kidney beans will Naomi use to make the recipe?
Answer:
5 Cans
Step-by-step explanation:
Hoped this helped.
P(x)=1/2(x-2)(x-3)(x+7) find the constant
Answer:
21
Step-by-step explanation:
p(x)=1/2(x-2)(x-3)(x+7)
costant term=1/2(-2)(-3)(7)=21
What is the product? (5r − 4)(r2 − 6r 4) 5r3 − 34r2 44r − 16 5r3 − 4r2 14r − 16 5r3 − 6r − 16 5r3 10r − 16.
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
Hope this helped!!
Answer:
A. 5r3 − 34r2 + 44r − 16
Step-by-step explanation:
What’s the answer to -4/4+160%+1/5=
Answer:
I think it is 1 4/159
Step-by-step explanation:
Khan academy how to find the domain of a function equation.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
Using substitution, which value of x makes this equation true?
3+x = 10
A. 13
B. 7
C. -7
D. -13
Answer:
The answer is B. 7
Step-by-step explanation:
3 + x = 10
3 + 7 = 10
Can someone please help me
Answer:
[tex]y = + - \sqrt[4]{ \frac{3}{2} x} [/tex]
steve has 18 more dollors than joe. what the algebraic expression that represents the amount of dollors steve has
Answer: s = j + 18
Step-by-step explanation:
Let's say Steve's money can be represented as s, and Joe's money as j. Because Steve has 18 more dollars than Joe, simply add 18 to Joe's money to solve for s.
Hope it helps :) and let me know if you want me to elaborate.
ms.lee is shopping for a new electric water heater. brand a cost $576 and uses 439 kilo-watt per month. brand b cost $651 and uses 374 kilowatt-hours per month. if electricity cost $0.16 per kilowatt hour how much will ms lee save on electricity per month by buying brand b
I need help with this ASAP It will give you 55 points!!!!!!!
show me step by step : 0.18x1.5
Answer:
0.27
Step-by-step explanation:
0.1 8
x 0.50
-----------
000
900
x 1800
-----------
2700 = 0.27
the points (3,5) and (-2,10) lie on a line. what is the slope
Answer:
-1
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-5)/(-2-3)
=5/-5
= -1
A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what
value of x will the area of the walkway equal the area of the pool?
Explain. (don’t send file)
10. What percent of 25 is 10? (1 point)
O10=r. 25: 40%
O 10=r. 25: 250%
025=x: 10; 40
025=r. 10; 250%
Answer:
40%
Step-by-step explanation:
To change a fraction into a percentage, multiply by 100% , then
[tex]\frac{10}{25}[/tex]
= [tex]\frac{10}{25}[/tex] × 100%
= 0.4 × 100%
= 40%
f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
Round 8,213 to the nearest thousand
Answer:
yes
Step-by-step explanation:
because 8213 its come to 10000 also