Answer:
D) 13.7
Step-by-step explanation:
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
Solve for x in ½ logx64 = 3
(A)
2
(B)
1
(C)
4
(D)
3
Answer:
A
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = n logx
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3
[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3
[tex]log_{x}[/tex] 8 = 3
8 = x³
2³ = x³ , then
x = 2
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?
taking math test plz help
Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
To learn more about nearest tenth refer to:
https://brainly.com/question/859948
#SPJ2
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
What is the slope of this line?
y=−13x+14
A. -1/3
B. 1/4
C. 1/3
Answer:
see below
Step-by-step explanation:
y = -13x+14
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -13 and the y intercept os 14
If you mean y = -1/3x + 1/4
The slope is -1/3 and the y intercep is 1/4
Answer:
-1/3 is the slope because the equation is in a form of y =mx + c, where m is the slope
Step-by-step explanation:
Is the function f x
2x4 + 4x2 – 1 is an even function. Prove it algebraically
Answer: The function is even.
Step-by-step explanation:
x= 0.5 AND x -0.5 will give you the same result for y.
Brainliest plz
Please help fast i will mark you if you get it right
Answer:
6/1 * 2/3= 4
5/6 - 3/4= 1/12
3/5 / 1/3= 9/5
Step-by-step explanation:
The fraction 7/12 is found between which pair of numbers on a number line?
Answer:
B
Step-by-step explanation:
[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]
f (x)=x^2 what is g (x)
Answer:
Answer is X =0
Step-by-step explanation:
I Found This on a app
|3x - 5| = |6x - 1|
Answer:
x = -4/3
Step-by-step explanation:
|3x - 5| = |6x - 1|
=> 3x - 5 = 6x - 1
=> 1 - 5 = 6x - 3x
=> -4 = 3x
=> x = -4/3
Hoped this helped.
Answer:
x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....
Step-by-step explanation:
3x - 5 = 6x - 1
Move the 3x to the other side by subtracting, because the 3x is positive on the left side.
-5 = 3x - 1
Move -1 to the other side by adding.
-4 = 3x
Divide by 3 to get x
[tex]\frac{-4}{3}[/tex] = x
Hope this helps! <3
Which expression gives the distance between the points (4,6) and my (7,-3)?
4.
What property could you use to show that these two triangles are congruent?
Two triangles
HL
SSS
SAS
ASA
Answer:
All four
Step-by-step explanation:
SSS, SAS, ASA, and HL
HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.
Fill in the values to complete the table.
45 points!!! help me please
help me plssssssssssssssss
Answer:
1/2= 5/10
this is answer
if the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
-10
Step-by-step explanation:
The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.
[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]
-10 (x) should be the input number.
Answer:
x = -10
Step-by-step explanation:
Equation:
-52 = 5x - 2 [tex]\longmapsto[/tex] Add 2 to both sides
-50 = 5x [tex]\longmapsto[/tex] Divide both sides by 10
x = -10
-Chetan K
A wooden beam is (3y2 + 7y+1) meters long. If a piece of length (y2 - 10) meters is cut off, express the length of the
remaining piece of beam as a polynomial in y.
Answer:
2y^2 +7y +11
Step-by-step explanation:
The remaining length is the difference between the original and the length cut off:
remaining = whole length - piece length
remaining = (3y^2 +7y +1) -(y^2 -10)
= 3y^2 +7y +1 -y^2 +10 = (3 -1)y^2 +7y +(1 +10)
remaining = 2y^2 +7y +11
Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?
Answer:
$45.02
Step-by-step explanation:
The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:
$225.10 × 20% = $45.02
Harry will leave $45.02 as a tip.
I don't know what im doing help
Answer:
81/256
Step-by-step explanation:
3/4*3/4*3/4*3/4
first multiply the numerators (3) together, which equals 81
then multiply the denominators (4) together, which equals 256
81/256 can't be simplified further
Answer:
[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]
Reasoning:
According to exponent law:
[tex](\frac{a}{b} )^{x} =(\frac{a^x}{b^x} )[/tex]
Now apply this to your problem.
[tex](\frac{3}{4} )^{4}[/tex]
[tex](\frac{3^4}{4^4} )[/tex]
[tex](\frac{81}{256} )[/tex]
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
Question=Q
Q8=60.1
Q9=
11 times 11 in binary . Help i need it today!
Answer:
1011×1011 = 11110011
Step-by-step explanation:
11 in binary is 1011
121 in binary is 1111001
Factor the polynomial 49n^2+168n+144
Answer:
(7n+12)^2 or (7n+12)(7n+12)
Step-by-step explanation:
Answer:
(7n+12)^2 or (7n+12) (7n+12)
Step-by-step explanation:
Both answers are the same thing it's just shortened with the first equation.
Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy
Answer:
11
Step-by-step explanation: 100 cents- $1
85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935
935 or 9.35 dollars
In a fraction, the value that represents the number of parts as compared to the whole is the ______
Answer:
Its the Denominator. Hope I helped please mark brainliest if you can and thanks! <3
Step-by-step explanation:
Answer:
21
Step-by-step explanation
OUI BONSEIUR
4/5 x 2/35 I need help pls!
Answer: 8/175
Step-by-step explanation:
Answer: 8/175
Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.
4x2=8
35x5=175
Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination
Answer:
12
Step-by-step explanation:
the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon
so here 180n-360=150n
30n=360
n=12
100 POINTS IF U GET THIS RIGHT!
Answer:
y = 2x - (3/2)
standard equation is
y = mx + c
c is the y intercept
m is the gradient/slope
so
2 is the slope (m)
Answer:
Slope = 2
Step-by-step explanation:
Our equation: y = 2x - 3/2
=> Given equation: y = mx + b
Now, let's compare:
=> y = mx + b = y = 2x - 3/2
=> We can tell that the slope is m, which is 2.
Hoped this helped.
Find the value of 7u-8 given that -4u-5=3
Answer:
22
Step-by-step explanation:
-4u - 5 = 3
=> -4u = 8
=> u = -2
=> 7(-2) - 8
=> -14 - 8
=> -22
Therefore, -22 is our answer.
Hoped this helped.
Someone plz help me :(
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
No of student can be found using x+y=total
X+y=total
Concept
Step-by-step explanation:
Let vans be x
Let bas be y
14x+6y=564
4x+6y=414
With that you can get the answer am sorry I couldn't give the appropriate answer I only showed the way am in a trip that's why
4d=12 solve for the variable
