Joshua invested $750 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded quarterly. Josiah invested $750 in an account paying an interest rate of 2\tfrac{5}{8}2 8 5 ​ % compounded annually. After 18 years, how much more money would Joshua have in his account than Josiah, to the nearest dollar?

Answers

Answer 1

Answer:

Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.

Step-by-step explanation:

Giving the following information:

Joshua:

Initial investment (PV)= $750

Interest rate (i)= 0.0341/4= 0.008525

Number of periods (n)= 18*4= 72 quarters

Josiah:

Initial investment (PV)= $750

Interest rate (i)= 0.0285

Number of periods (n)= 18 years

To calculate the future value of each one, we need to use the following formula:

FV= PV*(1 + i)^n

Joshua:

FV= 750*(1.008525^72)

FV= $1,381.98

Josiah:

FV= 750*(1.0285^18)

FV= $1,169.74

Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.

Answer 2

Answer:

delta math says answer is 100

Step-by-step explanation:


Related Questions

pleaseeee help me, i dont have much time to finish

Answers

Answer:

[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]

Step-by-step explanation:

pythagorean theorm

and then simplify with a factor tree or leave it as is.

BRAINLIEST PLEASE IF RIGHT

Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.

Answers

Answer:

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

1

)

×

2

=

6

+

2

n

2

=

2

n

+

4

what is 19 divided by 2

Answers

The answer is 9.5. Hope that helps!

Answer:

9.5 or 9 1/2

Step-by-step explanation:

if their is a remainder ur answer is

9^r1

please help


dgfhkcgfkgnglhgdh

Answers

A. There are 14 hard candies in total and 45 foods all together therefore the answer is 14/45

Mhanifa can you please help? Thanks :)

Answers

Answer:

Question 1

Sum of interior angles of a pentagon

4x + 60 = 180(5 - 2)4x + 60 = 5404x = 480x = 120Question 9

Angles H and G are same as the trapezoid is isosceles

8x = 10x - 382x = 38x = 19

I WILL GIVE BRAINIEST!! TO THE CORRECT ANSWER TO FILL IN THIS BOX I ONLY GET THE OPTION WITH A COUPLE OF ANSWERS!

Answers

Answer:

Step-by-step explanation:

The third one is

(10^3)^4 and equals 10^12

the 4th one is      (10*10*10*10)(10*10*10*10) or 10^8

the last one is (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10)

or 10^88

Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
9
12

Answers

C= 15
use the Pythagorean Theorem for these problems.

Mhanifa please help me with this

Answers

Answer:

No

Step-by-step explanation:

If we assume there is such a proportion, then we have the proportion:

m(x) = kx, where m is amount the person eats, k is coefficient of proportion, x is age of the person

For 5 year old we have:

m(5) = 5k

For 20 year old:

m(20) = 20k

For 60 year old:

m(60) = 60k

In reality this proportion doesn't make sense as 60 year old normally eats less than 20 year old.

Write 8.32×10 to the power of -4 in standard form

Answers

Answer:

Step-by-step explanation:

so you need to do 8.32 x 10=83.2

which of the q-values satisfy the following inequality? 6-3p≤1 PLEASE HELPP​

Answers

Answer:

c is the only answer that applies.

Step-by-step explanation:

i hope this helps :)

find the HCF of 750,630 and 18900​

Answers

The answer is:
Hcf=150

Help!! Find the volume of the Cylinder....

Answers

Answer:1231.5

Step-by-step explanation:

volume of a cylinder = pie x r^2 x h

pie x 14 x 8 = 1231.5

(WILL GIVE BRAINLIEST) Find the total surface area of the figure shown.
ANSWER CHOICES:
319.30 yd^2
284.60 yd^2
249.60 yd^2
270.30 yd^2

Answers

Yes the answer is b
Yea

The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seventh grade?

Answers

Answer:

100 students

Step-by-step explanation:

10% of students in 7th grade ----- 10 students

Divide by 10 on both sides:

1% of students in 7th grade ----- 10 ÷10= 1 student

×100 on both sides:

100% of students in 7th grade ----- 1 ×100= 100 students

Answer:100

Step-by-step explanation:

help!! pls i mark brainly answer

Answers

Answer:

On the left... True

On the right... False

Step-by-step explanation:

Consider the cases SSS, AAS, ASA, SAS, and SSA. For which of these cases are you unable to solve the triangle using only the Law of Sines?

Answers

Answer:

SSS and SAS

Step-by-step explanation:

To use the law of sines we need to know two angles and one side or two sides and one angle which should be opposite to one of known sides.

SSS - unable to solve as no angle is knownAAS - two angles and non-included side, able to find the missing angle solve the restASA - two angles and the included side, able to find the missing angle solve the restSAS- two sides and the included angle, unable to solveSSA - two sides and non-included angle, able to find the other angles and solve fully

What is the value of x?
F
83°
45°
E
D
X=
type your answer...
degrees

Answers

Answer:

x = 128°

Step-by-step explanation:

180-83-45 = 52

180 - 52 = 128°

A 12-person team is running a 123-mile marathon. Each person will run the same distance in the race. How many miles will each team member run in the marathon? please help!

Answers

Answer:

I believe each person will run 10 and 1/4 miles

Según el ministerio de salud en número de infectados por un virus tiene un crecimiento exponencial, según el siguiente modelo matemático N=2e^0,5t donde t es el número de días transcurridos desde que se detectaron los 2 primeros casos. Fiorella una estudiante del curso de comma al ver el modelo matemático menciona que luego de 8 días el número de infectados sería 129, Jorge su compañero menciona que Fiorella está equivocada ya que el número de infectados es 109. A. ¿Quién tiene la razón? B. ¿Cuál es el número de infectados en un mes? C. ¿En que tiempo se estiman 10 000 infectados?

Answers

Answer:

A) Jorge tiene razón en su afirmación.

B) El número de infectados será de 6538035 personas en un mes.

C) Se requiere aproximadamente 5 días para alcanzar 10000 infectados.

Step-by-step explanation:

A) Sea el número de infectados por un virus representado por el modelo matemático [tex]N(t) = 2\cdot e^{0.5\cdot t}[/tex], si [tex]t = 8[/tex], entonces tenemos que la cantidad infectados por el virus sería:

[tex]N(8) = 2\cdot e^{0.5\cdot (8)}[/tex]

[tex]N(8) \approx 109.196[/tex]

En consecuencia, Jorge tiene razón en su afirmación.

B) Si tenemos que [tex]t = 30[/tex], entonces el número de infectados en un mes es:

[tex]N(30) = 2\cdot e^{0.5\cdot (30)}[/tex]

[tex]N(30) \approx 6538034.745[/tex]

El número de infectados será de 6538035 personas en un mes.

C) Si tenemos que [tex]N(t) = 10000[/tex], entonces el tiempo estimado para tal cantidad es:

[tex]t = \frac{1}{2} \ln \frac{N(t)}{2}[/tex]

[tex]t \approx 4.259\,dias[/tex]

Se requiere aproximadamente 5 días para alcanzar 10000 infectados.

Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50

Answers

Answer:

Its D hope this help byee

Answer:

It is D I got this correct on the test.

Step-by-step explanation:

find the measure of the missing angle, i’ll mark brainliest

Answers

there is a right angle and a acute angle. the mesurement of the missing angle is 62° and the right angle is 90°

Answer:

the answer is 62

Step-by-step explanation:

let me guess your teachers have lanschool air?

The ratio of boys to girls at school today 4:7. If there are 350
boys at school today, how many girls are there? Round
down.

Answers

Answer:

There should be about 612 girls

Step-by-step explanation:

350 divided by 4 = 87.5

87.5 x 7 = 612.5

round 612.5 down, which gets 612

In the data set below, what are the lower quartile, the median, and the upper quartile?
15 17 41 15 50 55 55 58 62 66

Answers

Answer:

its 55

Step-by-step explanation:

1st question: Are the angles adjacent or vertical?
2nd question: Find the value for x.m ​

Answers

Answer: It’s adjacent I’ll draw what vertical is. And M is 180-106 which is 74. Adjacent means next to...

Step-by-step explanation:

Solve the system: {4x-7y=30, 4x-5y=90

Answers

Answer:

x=60, y=30

Step-by-step explanation:

4x-7y=30

4x-5y=90

Subtract the equations

4x-7y=30-4x-5y=90

=2y=60

Solve 2y=60

Divide both sides by 2

2y/2=60/2

Simplify;

y=30

For 4x-7*30=30 for x

4x-7y*30=30

Multiply the numbers:7*30=210

4x-210=30

Add 210 to both sides

4x-210+210=30+210

Simplify;

4x=240

Divide both sides by 4

4x/4=240/4

Simplify

x=60

The solutions to the system of equations are:

x=60, y=30

Hope this helped!!!

Please help I have been stuck for a while now

Answers

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

Please answer ASAP DUE AT 8 BRAINLIEST

Answers

Answer:

the perimeter is 11cm and the area is 7cm^2

Step-by-step explanation:

NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.

For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.

A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

because the teeth brushing had nothing to do with their grade, it would be no correlation.

when you are given a zero of a function and told that it has a multiplicity of 3, what does that mean?​

Answers

Answer:

the zero of a function is what value you can plug in and get 0 as the answer.

having a multiplicity of 3 means that the zero is there 3 times so if your zero is 2 with multiplicity 3 then (x-2)^3 is what it looks like

Step-by-step explanation:

Given {(1, 2), (3, 5), (-2, 2), (3,6)}, choose the pair of coordinates that clarify why this
relation is not a function.

Answers

Given:

The relation is:

[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]

To find:

The pair of coordinates that clarify why this relation is not a function.

Solution:

A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.

The given relation is:

[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]

This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.

Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.

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