Mathematics High School

Paddy and Anna each invest $2000 for 5 years.

Paddy earns simple interest at a rate of 1.25% per year.

Anna earns compound interest at a rate of r% per year.

At the end of 5 years, Paddy's investment is worth the same as Anna's investment.

Calculate the value of r.

Answers

Answer 1

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = [tex]P(1+rt)[/tex]

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

[tex]A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125[/tex]

Formula to compute compound amount : [tex]P(1+r)^t[/tex]

[tex]=2000(1+r)^5[/tex]

When both have same worth then

[tex]2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625[/tex]

taking log on both sides , we get

[tex]5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%[/tex]

Hence, Value of r= 1.22

Related Questions

What is the solution of the system of equations? y=2x+2 y=4x-2

Answers

{ y=2x+2
{ y=4x-2

2x+2=4x-2
x=2

y=2 ⋅ 2+2
y=6

(x,y)=(2,6)

——
Check solution:
{ 6=2 ⋅ 2+2
{ 6=4 ⋅ 2-2

{6=6
{6=6

3x+x+y PLEASE HELP ME ITS DUE TODAY

Answers

Answer:

4x+y

Step-by-step explanation:

To solve the inequality 4x < 8, you would divide both sides of the inequality by 4.

True
False

Answers

Answer:

True

Step-by-step explanation:

4x<8

divide

x<2

Pls help due like- right on
Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each.

What is the maximum number of shirts she can buy?

Answers

Answer:

Step-by-step explanation:

3 shirts

What’s the correct answer

Answers

Answer:

I guess y is also 0 not sure

It’s called the origin

6y(-5-y+4y^2)
Simplify the expression^^

Answers

Answer:

24y^3-6y^2-30

Step-by-step explanation:

6y(-5-y+4y^2)

-30y-6y^2+24y^3

Put in the correct order

24y^3-6y^2-30

30% of 50

what’s the easiest and fastest way to solve it?

Answers

Step 1: Our output value is 50.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$50=100\%$.

Step 4: Similarly, $x=30\%$.

Step 5: This results in a pair of simple equations:

$50=100\%(1)$.

$x=30\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have

$\frac{50}{x}=\frac{100\%}{30\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{50}=\frac{30}{100}$

$\Rightarrow x=15$

Therefore, $30\%$ of $50$ is $15$

Answer:

15

Step-by-step explanation:

change the percent to a decimal

30% to .30

.30 x 50= 15

The Basketball team sets a goal of having at least a 7:2 Win Loss Ratio. If they play 36 games in a season, how many games must they win to achieve their goal?

Answers

The answer is 28
Hope this helps

Which equation defines a function whose inverse is not a function?
A. y=x^2
B. y=x
C. y=4x-2
D. y=3^x

Answers

Step-by-step explanation:

d maybe byeee jziziznssusuisbzs

Evaluate the expression 6 + 4 x {3+7}.

Answers

Answer:

46

Step-by-step explanation:

6 + 4 x {3+7} [B.O.D.M.A.S rule] (First bracket)

= 6 + 4 × 10. (Then Multiplication)

= 6 + 40. ( At last addition)

= 46 (Ans)

The simplified value of the expression  6 + 4 × {3 + 7} is 100.

What is PEMDAS rule?

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, An expression 6 + 4 × {3 + 7}.

First, we'll add 6 and 4 as 3 and 7 are inside curly brackets,

not in parentheses.

Therefore,

6 + 4 × {3 + 7}.

= 10 × {3 + 7}.

Now, we can either distribute the terms or take the addition and multiply.

= 10 × 10.

= 100.

learn more about PEMDAS rule here :

https://brainly.com/question/36185

#SPJ2

Albert O'Malley signs a promissory note for $3,500 for 150 days at 9% exact interest. Find the interest he must pay _____ and the total amount due on the due date _____.

Answers

Answer:

He must pay $129.45 and the total amount due is $3,629.45.

Step-by-step explanation:

I (interest) =P (principal) x R (rate) x T (time)

I=3500x.09x150/365

I=129.45

A (amount due) = P (principal) + I (interest)

A= 3500 + 129.45

A= $3629.45

Its 2.4... trust me!! Line out all your numbers. Add them up to get 65. There are 10 numbers so 65 divided by 10 is 6.5. Not done yet!! Then compare 6.5 to 10, (how far away is 6.5 to each number. Then add those numbers. then you get 24, now divide 24 by 10 to get 2.5. This is the answer for (08.02)Using the following data, calculate the mean absolute deviation:
10 7 1 6 7 9 8 10 2 5

Answers

Answer: 3.1 ? Possibly

Step-by-step explanation: Hmm have a brilliant day mate.-Lily ^_^

c) What are zeros of f(x) = 3x2 - 12x - 36

Answers

Answer:

Zeros Calculator. The zeros of a polynomial equation are the solutions of the function f(x) = 0. A value of x that makes the equation equal to 0 is termed as zeros. It can also be said as the roots of the polynomial equation. Find the zeros of an equation using this calculator.

Step-by-step explanation:

Please mark me the brainiest if I got it right

If it’s to the power of two, they’ll be -2 and 6 . Try entering the equation in Desmos! It’s really helpful!

Find the area of the irregular figure. (Assume that all angles are right angles) PLEASE help quick

Answers

Answer:

B

Step-by-step explanation:

you got to divide it into different shapes so I divided it into three rectangles. Area of a rectangle is Length×Width so the first triangle was 2×3=6 the second was 1×2=2 and the third was 1×3=3 then u add them and u get 11.

Answer:

B

Step-by-step explanation:

easy peasy lemon squeasy

what’s the equation for this?

Answers

Answer:

y = 2x-3

Step-by-step explanation:

The y intercept is -3. The slope is change in y/change in x. 2/1 = 2

What is the center and radius of this circle? HELP!

Answers

Answer:

Center: at the point (-3, 2)

Radius: 3 units

He is ordering the pizzas from a place that has 12 different topping options.
7 options are vegetarian and 5 are meats.
Write the ratio of vegetarian options to the total of options in three different ways.

Answers

Answer:

124

Step-by-step explanation:

1234

7:12. 7 to 12. 7/12.


do y’all get it now?

what is 2.73-0.94 plss guys help me​

Answers

Answer:

1.79

Step-by-step explanation:

If you do not know how to type that into a calculator or to just subtract on paper thats kinda sad

The diagonals AC and BD of
trapezoid ABCD intersect the midsegment MN at
points P and R respectively. If the short base DC =
10 cm and AB = 40 cm, find MN and PR.

Answers

Answer:

MN=25

Step-by-step explanation:

mn=(ab+cd)/2 --> mn=(40+10)/2 --> mn=50/2 --> mn =25

(this is half an answer and this is what i could get)

I think of a number, double it, subtract 3,
the result is 7. Evaluate the number that I first thought of.

Answers

Answer:

5

Step-by-step explanation:

2x - 3 = 7

this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7

then you can just solve for x

2x=10

x=5

Calculate The Slope

(10,3) and (7 , 9) = 9 – 3/ 7 – 10 = 6/-3 = -2


(4, -2) and ( 4, 3)


(2,10) and (8 , 7)


(7, 3) and (8, 5 )


(12,11) and (9 , 5)


(6, 2) and (3, 2)

Answers

Answer:

78

Step-by-step explanation:

21

Find the y intercept of the following line (-2,1) and (1, 2.5)

Answers

Answer:

2

Step-by-step explanation:

(-2 , 1) ; (1, 2.5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]\frac{2.5-1}{1-[-2]}\\\\= \frac{1.5}{1+2}\\\\=\frac{1.5}{3}\\\\= 0.5[/tex]

m =0.5

y -y1 =m(x -x1)

y - 1 = 0.5(x - [-2])

y - 1 = 0.5(x + 2)

y -1 = 0.5x + 0.5*2

y - 1 =0.5x + 1

  y = 0.5x + 1 + 1

 y = 0.5x + 2

y-intercept = 2

Write the equation of a line parallel to the y-axis and passing through the point
(-3,-4).​

Answers

Answer:

x = -3 is the answer. Writing this cause brainly requires a 20 character answer.

Solve 5(11x - 2) = 155

Answers

Answer:

5(11x-2) = 155

55x - 10 = 155

55x = 165

x = 165/55

x = 3

Step-by-step explanation:

hope it helps

Write a one-step equation for 85 divided by 1/4. WILL GIVE BRAINLYEST!

Answers

Answer:

340

Step-by-step explanation:

1/4 = .25

85 / .25 = 340

85 goes into 1/4 340 times

hope this helps

plz mark brainliest :)

Answer:

340

Step-by-step explanation:

85 ÷ 1/4 =

85/1 ÷ 1/4 =

85/1 • 4/1 =

340/1 = 340

Find the value of x.

Answers

Answer:

x is 24

Step-by-step explanation:

5x+60=180

5x=120

x=24

Sharon tried to solve an equation step by step.
all Sumi
9 = -3(e - 2)
mbining
9-3e + 6
Step 1
he distrib
15 - 3e
Step 2
5=e
nterpretin
Step 3
Find Sharon's mistake.
O 1.5
Choose 1 answer

Answers

Not sure if this is what you’re looking for because the question is choppy and some of the letters/words are missing.

Step 2(?) the step with 15 - 3e
When combining 9 = -3e + 6, six would be subtracted from nine equaling three not fifteen.
Correct Steps:
Equation: 9 = -3 (e - 2)

Step 1: 9 = -3e + 6
- 6 - 6
3 = -3e

Step 2: 3 = -3e
/-3 /-3
-1 = e

Answer: -1 = e

I’m very confused and don’t understand anything that’s going on please help

Answers

Answer: 112, 68, 22, 90

Step-by-step explanation:

This is fairly somewhat easy

since the adjacent side of 1 is 68 degrees

then 1 would be 112 degrees to make it supplementary to 180 degrees

angle 3 is vertical of angle 68

making it 68 degrees

angle 5 is given to be 90 degrees meaning angle 4 is inbetween

angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4

is 22

angle 1 = 112

angle 3 = 68

angle 4 = 22

angle 5 = 90

what is 100÷21?
56×32=
76+77

​

Answers

Answer:

100 ÷21 = 4.76 or 5

56 × 32 =1732

76+77= 153

Step-by-step explanation:

Hope it help

Mark me as brainliest

I give crown don't put a random answer -_-

Answers

Answer:

i think it is b not 100% sure srry if its wrong.

Step-by-step explanation:

Answer:

3x+8=35

3x= 35-8

3x= 23

x=23/3

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