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
What is 100,000×1,000,000
Answer:
100,000 × 1,000,000 = 1.E11
Answer:
100000000000
Step-by-step explanation:
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3.
Which represents the number of antique flower vases Christine can buy?
at least 20 vases
O at the most 20 vases
O exactly 20 vases
O at the most l vase
Answer:
97
Step-by-step explanation:
Factorise. 5a² - 10a
Answer:
5a (a -2)
Step-by-step explanation:
Hey there,
Here, you have to get the common factors out from the brackets.
According to this question,
a and 5 are the common factors.
Therefore, you can write the answer like this,
5a² - 10a
5a (a -2)
Hope this helps you.
Let me know if you have any other questions :-)
7/8 times 7/9 what is the answer
Find the perimeter. Simplify your answer.
Suppose that you randomly selected 22 adults. If 10% of the population smoke, a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 22 adults?
Answer: 2 to 3 people who would be smoking
Step-by-step explanation:
22 divided by 10 = 2.2
and since there could be more
or less so it could be 2 or 3
please helpppppppppoppo
Step-by-step explanation:
360_90_110=1602a+3a=160a=32°What type of angle is 90 degrees
Answer:
Obtuse or right angle
Step-by-step explanation:
Also you should stop making your question worth so many points
How will knowing the value for the best measure of center for the heights of the adult males help Nancy determine whether she can send the same distributions of sizes to each country for the men’s clothing line or will need to adjust the distributions she sends?
The best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers
What is mean of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The mean of the data is the center tendency and includes the outlines.
The value for the best measure of center for the heights of the adult males help can help Nancy in two ways:
She can send the same distributions of sizes to each country for the men’s clothing line She needs to adjust the distributions she sends.Here, when Nancy uses the mean of the data of height, she also measures the outliers. This affect the calculation of her. With the best measure of center, help her to deter line the size.
Thus, the best measure of center for the heights help Nancy to determine the sizes of cloth for countries, as it does not include outliers.
Learn more about the mean here;
https://brainly.com/question/14532771
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Please HELP!!!!PLSLSLSLSS
Answer: where is the question??
what do you need help with?
Simplify the following:
Answer:(5x+8)/[(x+4)(x-1)(x+3)]
Step-by-step explanation:
1. First factorize the quad expressions in the denomeneter of both fractions.
2. Then choose you arithmetic common denomeneter .
3. And the rest is child's play.
Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.
Answer:
30 cookies and 6 cupcakes
Step-by-step explanation:
5+1=6
5:1=6
?:?=36
36/6=6
5x6=30
1x6=6
30 cookies
6 cupcakes
Make m the subject of the formula L = m + n
I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
Which circle has a radius that measures 10 units?
10
D
20
F
10
OG
20
Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
The distance across a circle through the centre is called the diameter.
Diameter = 2 × radius
In the given figures, option B has a diameter of 20
so radius = diameter /2
=20/2
=10 units
Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
To learn more on Circles click:
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Explain what the point (6,2) represents.
Answer: 6 is the 1st term, 2 is the common ratio
Step-by-step explanation: T = 6(2d-1)
write down three integers below 25 with the range of 10 and the mean of 13
Answer:
8, 13, 18
Step-by-step explanation:
Middle number is 13, there are only 3
Max is 10/2 more so 18
Min is 18-10
In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.
the answer is 524.47500
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if the set of values represent points on a line, what is the value of a?
Answer:
a = 7
Step-by-step explanation:
Equation of line : y = mx + b
m = slope
Plug in coordinates:
Slope = Change in y/Change in X
Slope = 13-4/5-2 = 9/3 = 3
Plug in coordinates:
y - intercept = b
13 = 5(3) + b
13 = 15 + b
b = -2
Equation: y = 3x - 2
Input 3 for x
y = 3x - 2
y = 9 - 2
y = 7
-Chetan K
What is the missing divisor?
966 divided by ?=161
Answer: its 6
Step-by-step explanation: just divide 966 by 161 and the answer would be 6
Trust Officer Megan is the trust officer for an estate. If she
invests $15,000 into an account that carries an interest rate
of 8% compounded monthly, how long will it be until the
account has a value of $45,000 for Megan's client?
a
Answer:
????????
Step-by-step explanation:
i don't know if I can help with the subject line
Please help me, If you do not know do not answer
Rule for function
If Domains of relation have unique Range then it's function otherwise not a function.
Now
FunctionFunctionRelation/Not a functionNot a function/Relationwhat are the values of each variable
Answer:
x=14
Step-by-step explanation:
2x+4=3x-10
Add 10 to both sides, leaving you with
2x+14=3x
Subtract 2x from both sides, leaving you with
x=14
Find the slope of line 2, which is parallel to line 1. Line i goes through the points
(-13, -6), (7, 15).
(-13, -6), (7, 15) = 1.05
Equation: y = 1.05x + 7.65.
The entered points belong to an increasing, linear function.
Answer:
m = rise / run = 21/20, or m = 1.05
Step-by-step explanation:
If the lines are parallel, their slopes are identical. So we can find the slope of line 1 and know that it's also the slope of line 2.
From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7. Thus, the "run" in m = rise / run is 20. Likewise, the "rise" is 21.
Thus the slope in question is m = rise / run = 21/20
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.
100 points if u get this right ty have a nice day !
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
Answer:
8 months
Step-by-step explanation:
12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8
What is product in math.
Answer:
so when you Mutpliy #*# = #product
Step-by-step explanation:
EX: 3*4=12
y=-2x + 7
y = 5х – 7
Find the solution
Answer:
x = 2
Step-by-step explanation:
Given:
y = -2x + 7 y = 5х – 7If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.
=> -2x + 7 = 5х – 7
=> 7x = 14
=> x = 2
Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.
=> y = 5х – 7
=> y = 5(2) - 7
=> y = 10 - 7
=> y = 3
Hoped this helped.
what does cpctc stand for and when would you use it
Answer: Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.
