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
If angles are supplementary, then one of the angles is an obtuse angle. Answers are these Sometimes always or never pick one
Write the equation of the line in fully simplified slope-intercept form
Answer:
y=3x-1
Step-by-step explanation:
Use slope intercept form (y=mx+b) to plug in the values for m and b
the question next to the graph!
Answer:
Yes there is a proportionality between the amount of money she arns and the hours she works. For every 2 hours she works she earns 30 dollars. Which means she makes 15 dollars an hour.
Step-by-step explanation:
y=-6/5x +4
y-= -1/5x -1
Answer: (5,-2)
Step-by-step explanation:
I'm assuming the equations are:
Y=-(6/5)x +4
y = -(1/5)x -1 [Note that I changed "y-" to just "y."]
We can solve this in one of two ways: Mathematically and Graphically.
Math:
y = -(1/5)x -1
6y = -(6/5)x -6
-(Y=-(6/5)x +4)
5y = -10
y = -2
y = -(1/5)x -1
-2 = -(1/5)x -1
-1 = -(1/5)x
5 = x
x = 5
The solution is (5,-2)
Graph:
See the attached graph. The lines intersect at (5,-2)
Approximate 23 by following the steps below.
V23 must lie between the whole numbers
and
You must answer all questions above in order to submit.
Answer:
4 and 5
Step-by-step explanation:
Well, 23 is less than 25, which is 5^2. Moreover, its more than 16, or 4^2
Help me please I’m bad at slopes
What kind of sequence?
8,4,2,1....
A geometric
B arithmetic
C neither
Answer:
A. geometric
Step-by-step explanation:
The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.
Arithmetic sequences add or subtract the same number between each term.
Hope this helps.
9. Which of the following relations are functions? Choose all that apply. Assume that each different variable
has a different value.
{(a,b),(0,0),(c.c),(e,d)}
{(c,e),(c,d),(0,b)}
{(6,5),(c,d),(d.c),(0,0)}
{(a,b),(b,c),(c,d),(d,e)}
Answer:
A and c sorry if I'm wrong
What is the constant of proportionality in this
equation?
y= 20x
Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
Graph the equation.
Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!
Answer:
why did you need to play with you are you board of playing then stop playing game
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
Step-by-step explanation:
that means we divide 2/3 by 4.
2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6
so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.
the line passes through (-6,9)
perpendicular to y=3x-2
The key to understand this problem is that perpendicular lines have slopes that are the negative reciprocals of each other. Example, a line with slope 3/4 has a perpendicular with a slope of -4/3. So flip it over and take the negative. Like 7/12 and -12/7 or 2 and -1/2 (because 2 = 2/1)
The slope of y = 3x - 2 is 3 (the number preceding the "x' if the line is in the form y = mx + b)
So the line perpendicular to y = 3x - 2 has a slope of -1/3.
So now you just need to write the equation of the line with slope -1/3 that goes through (-9, 5). Use the point-slope form, y - y1 = m(x - x1) where (x1, y1) is (-9, 5) and m = -1/3
y - 5 = -1/3(x - -9)
y - 5 = -1/3(x + 9)
That's the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.
y - 5 = -1/3(x + 9)
y - 5 = -1/3x - 3
y = -1/3x + 2
What is an equation of the line that passes through the points (6,-3) and (-6,-5)
Answer:
y = 6x - 4
Step-by-step explanation:
I drew a graph slope formula is (y2 - y1)/(x2 - x1) and if the line passes through a point that is not zero (in this case it does) we add or subtract that as the y-intercept. we recently passed this so I know it.
Slope-intercept form: (y = mx + b) y = 6x - 4
Standard form: (Ax + By = C) -6x + y = -4
Point-slope form: (y - y1 = m (x - x1)) (let's use the point (6, -3)) y + 3 = 6 (x - 6)
Tell me if I'm wrong :)
Answer:
Step-by-step explanation:
Bu using the formula of Two-Points form:
[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]
Substitute the points in the above equation:
y+3/-5+3=x-6/-6-6
y+3/-2=x-6/-12
-12(y+3)=-2(x-6)
-12y-24=-2x+6
2x-12y-24-6=0
2x-12y-30=0
Or
x-6y-15=0
If you need to ask any question,let me know.
Which statement is true about the prime polynomial 2x2 + 3x + 3?
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
it cannot be modeled with a rectangle
Step-by-step explanation:
let's eliminate the wrong answers first
1. it cannot be modeled with all positive tiles --- this incorrect because it is all positive, so it CAN be modeled with all positive tiles
2. it can only be modeled with an odd number of tiles -- not true, because 2x^2 is even number of tiles
3. it can be modeled with a square -- to be modeled as a square, the polynomial have to be factored into square ie (x+2)², but cann't be factored as square, so again not true
therefore, first one is the answer. because you cannot factor the polynomial as such (x+2)(x+3), so it cannot be modeled with a rectangle.
Answer:
A: It cannot be modeled with a rectangle.
Step-by-step explanation:
100%
Please help me will give points
Answer:
[tex]6 + 6 < > 7[/tex]
yk maths pooo
What are Multiple Representations
Answer:
Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity
Answer:
Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties.
How to add fractions with whole numbers.
Answer:
To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.
Step-by-step explanation:
Hi again could you help me please
Find the area of the composite shape.
Answer:
For the one on the far left its 104 m2
Step-by-step explanation:
u split the shape in a square and rectangle
them u fin the area of the square by multiplying both sides. (8*8)
then u find the area of the rectangle by using the formula
2*(16+4)
when u find both areas u count them up and it'll become 104 m squared
Solve for the value of m
Answer:
m=37
Step-by-step explanation:
180-35=145
4m-3=145
4m=148
m=37
I need help on these two PLEASE!!
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
The final amount of 893 decreased by 19% followed by a 17% decrease
Answer:
the answer is 600.36_____
polynomials functions please help
Answer:
Step-by-step explanation:
Polynomial Functions. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.
help me please.........
Answer:
the answer is 10,700 :)
Step-by-step explanation:
what is the answer??
Answer:
D) 39
Step-by-step explanation:
There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.
First step, find g(8):
g(x) = 3x - 2
When x = 8,
g(8) = 3(8) - 2
Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:
g(8) = (3 * 8) - 2
g(8) = (24) - 2
g(8) = 22
Next step, find g(-5):
g(x) = 3x - 2
g(-5) = 3(-5) - 2
g(-5) = (3 * -5) - 2
g(-5) = (-15) - 2
g(-5) = -17
Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:
22 - (-17) = 22 + 17 = 39
D) 39 is your answer.
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An article marked at 1,200 is sold an 8% discount find the s.p of the article?
Help me please quickly
Answer:
x ≥ 1
Step-by-step explanation:
→ As it is a shaded circle you know it ≤ or ≥
x ≥ 1
The sides forming the right angles and hypotenuse of a right angled triangle are x cm, (2x + 2) cm and (3x – 2) cm respectively. Calculate the perimeter of the triangle.
Answer:
6x
Step-by-step explanation:
Perimeter is the sum of all the sides:
(x) + (2x + 2) + (3x - 2)
Add like-terms:
6x + 2 - 2 = 6x
Perimeter = 6x
I need help with this ASAP It will give you 55 points!!!!!!!
Multiply the binomials:
(3x + 4)(5x − 2)
Answer:
15x^2 + 14x - 8
Step-by-step explanation:
