Hey can some one help me out

Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea

Vsevolod [243]

$~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &2500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &30 \end{cases}$

$A=2500\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 30}-1}{\frac{0.1}{1}} \right]\implies A=2500\left[ \cfrac{(1.01)^{30}-1}{0.1} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 411235.06~\hfill$

4 0

2 years ago

Write the population of Florida in expanded formusing exponents 18,801310

Tju [1.3M]

10,000,000+
8,000,000+800,000+1,000+300+10

7 0

3 years ago

Change at least one number in the table so that it DOES represent a function.

almond37 [142]

Answer:

change 2 to 4

and 1 to 5

1 --> 5

2 --> 10

3 --> 15

4 --> 20

5 --> 24

Step-by-step explanation:

Function means you can have one input for evry one output

so you have to change the 2 and 1 to diffrent numbers like 4 and 5

so now evey imput has their own out put

befor input one it had 5 and 24

and input two had 10 and 20 but changing the number you get one for one

6 0

3 years ago

1. Based on the information given, can you determine that the quadrilateral must be a

zhenek [66]

Solving Q1: Given BE = ED and AE = EC.

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)

Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)

Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

Solving Q2: The parallelogram has the angle measures shown in the diagram.

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0

3 years ago

Carter is selling his bike. His research shows that the bike has a current value of $90, which is 45% of the amount Carter paid

GaryK [48]

Carter paid $200 for the bike.

Step-by-step explanation:

Given,

Current value of bike = $90

This represent 45% of the original amount Carter paid for bike.

Let,

x represent the original amount of bike.

45% of x = 90

$\frac{45}{100}x=90\\\\0.45x=90$

Dividing both sides by 0.45

$\frac{0.45x}{0.45}=\frac{90}{0.45}\\x=200$

Carter paid $200 for the bike.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

6 0

4 years ago