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3 years ago

Evaluate the following algebraic expression if a equals 3 and b equals 4 2a^+5b

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Replace a and b with their number value:

2a^2 + 5b = 2(3)^2 +5(4)
do the 3^2 first: 3^2 = 9
so now you have 2(9) +5(4)
now multiply both sets of numbers: 2 x 9 = 18 and 5 x 4 = 20
now add them:

18 +20 = 38

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What is the value of xin the diagram? A. 9 B. 8 C. 7 D. 6

RoseWind [281]

Answer:

Step-by-step explanation:

The ratio of the similar triangles is

14 49

---- = ------

2 x

Using cross products

14x = 2*49

14x = 98

Divide by 14

14x/14 = 98/7

x =7

7 0

3 years ago

A + b + c =-10 x + y + z =-10 what is −6c−6b+6z+6x+6y−6a?

shutvik [7]

I’m not to sure I was wondering the same thing

4 0

3 years ago

The expanded form of 6,398 is

masya89 [10]

Answer:

The expanded form of 6,398 is 6000 + 300 + 90 + 8

3 0

3 years ago

Read 2 more answers

Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

• Time, t = 6 years

• Interest rate, r = 5.3% ==> 0.053

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0

1 year ago

Manny bought a brand new car in 2012 for $28,750. If the car depreciates by 12% each year, write an exponential function to mode

patriot [66]

The exponential formula for this situtation will be given by:
f(x)=ae^(-bx)
where:
a=initial price
b=rate
x=time in years
hence the formula will be:
f(x)=28750e^(-0.12x)
thus the value of the car in 2018 will be:
x=2018-2012=6 years
thus
f(6)=28750e^(-0.12*6)
f(6)=$13,994.13

5 0

3 years ago