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tigry1 [53]
3 years ago
11

Solve for x. 3(2x + 5) = 33

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

3(2x + 5) = 33

3 * 2x + 3 * 5 = 33

6x + 15 = 33

6x = 33 - 15

x = 18 / 6

x = 3

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Select all expressions that are equivalent to (2n+6)(n+3)
eduard

Answer:

(2n+6)(n+3)=

(2*n+2*3)(n+3)=

2(n+3)(n+3)=.....(1)

2(n+3)^2=....(2)

2(n^2+2*n*3+3^2) =

2(n^2+6n+9)=....(3)

2n^2+2*6n+2*9=

2n^2+12n+18.... (4)

6 0
3 years ago
Kaylee tell Aimee that the shape is a stop sign has a least one right angle. Aimee says that three are no right angles.who is ri
damaskus [11]
Aimee is correct because a stop sign is an octogon. Octogons contain only obtuse angles.
4 0
3 years ago
Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 years
Helen [10]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{4}\right)^{4\cdot 4}\implies A=2500(1.01)^{16}\implies A\approx 2931.4466123

3 0
4 years ago
Find all solutions of the equation sin^2 x=2sinx+3
Mashutka [201]
\sin^2x=2\sin x+3
\sin^2x-2\sin x-3=0
(\sin x-3)(\sin x+1)=0

which means either \sin x=3 or \sin x=-1. The equation has no solution, since \sin x is always bounded between -1 and 1. The second has one solution at x=-\dfrac\pi2, and any number of complete revolutions will also satisfy this equation, so in general the solution would be -\dfrac\pi2+2k\pi where k is any integer.

So you could choose A=-\dfrac\pi2 and B=2.
4 0
3 years ago
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

f(x)=a(1.04)^{x}

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

156=a(1.04)^{1}

Solve for a

156=a(1.04)

a=\$150

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0
4 years ago
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