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?

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

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

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:

Answer:

x = 128°

Step-by-step explanation:

180-83-45 = 52

180 - 52 = 128°

Answer:

Sum of interior angles of a pentagon

Angles H and G are same as the trapezoid is isosceles

Answer:1231.5

Step-by-step explanation:

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

pie x 14 x 8 = 1231.5

Answer:

no correlation

Step-by-step explanation:

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

Answer:

its 55

Step-by-step explanation:

Answer:

On the left... True

On the right... False

Step-by-step explanation:

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

For 5 year old we have:

For 20 year old:

For 60 year old:

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

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

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

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.

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?

Answer:

9.5 or 9 1/2

Step-by-step explanation:

if their is a remainder ur answer is

9^r1

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!!!

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.

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.

Answer:

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

Answer:

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.

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:

Answer:

c is the only answer that applies.

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

so you need to do 8.32 x 10=83.2

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:

Answer:

Its D hope this help byee

Answer:

It is D I got this correct on the test.

Step-by-step explanation: