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Sindrei [870]
2 years ago
10

What is the value of the expression below when w=3?6w-9

Mathematics
1 answer:
Nikitich [7]2 years ago
6 0

Answer:

9

Step-by-step explanation:

Substitute w = 3 into the expression

6w - 9

= 6(3) - 9

= 18 - 9

= 9

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Step-by-step explanation:

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If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
vredina [299]

Answer: 4:3.

Step-by-step explanation:

Given: Point P is \dfrac{4}{7} of the distance from M to N.

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\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}

As per given,

\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}

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3 years ago
The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determin
ArbitrLikvidat [17]
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3 years ago
Anthony wants to buy CD for $400 that earns 2.5% APR and is compound quarterly. The CD matures in 3 years. Hi interest earned wi
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Answer:

<em>The correct option is:   B.  $30.00</em>

Step-by-step explanation:

<u>The formula for compound interest</u> is.......

A=P(1+\frac{r}{n})^n^t , where A= Final amount, P= Initial amount, r= rate of interest in decimal form, n= number of compounding in a year and t= time duration in years.

Anthony wants to buy CD for $400 that earns 2.5% APR and is compound quarterly and the CD matures in 3 years.

So here,  P= 400, r=2.5\%=0.025, t= 3

As the CD is compounded quarterly, so here  n= 4

Plugging these values into the above formula......

A= 400(1+\frac{0.025}{4})^(^4^*^3^)\\ \\ A= 400(1+0.00625)^1^2\\ \\ A=400(1.00625)^1^2\\ \\ A= 431.053...

So, the amount of total interest earned = (\$431.053...-\$400)=\$31.053... \approx \$30.00(Approximately)

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