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3 years ago

For Sigma-summation Underscript n = 1 Overscript infinity StartFraction 0.9 Superscript n Baseline Over 3 EndFraction, find S4=

Mathematics

1 answer:

lara [203]3 years ago

5 0

Answer:

S4 = 1.0317

Error = 1.9683

Step-by-step explanation:

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Zeb and his wife have a taxable income of $167,487. What is their tax liability?

Nastasia [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end

Fantom [35]

Answer:

Step-by-step explanation:

Let's set up an equation in standard form.

x + 0.5y = 150

0.5y = -x + 150

y = -2x + 300

The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.

8 0

4 years ago

Which inequality is shown in the graph below?

Lerok [7]

Answer:

Step-by-step explanation:

must be the equation

y > x+1

because the slope is 1 and is 1 abve the origin and a dotted line

4 0

3 years ago

How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?

Ket [755]

The amount invested is $ 470

<h3>Solution:</h3>

Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested. That is, we need to find the principal sum

Let us use the simple interest formula

The simple interest is given as:

$\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}$

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

$\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}$

Thus the amount invested is $ 470

4 0

4 years ago

Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ use the distributive property

$y-4=\dfrac{1}{2}x+1$ add 4 to both sides

$y=\dfrac{1}{2}x+5$ - slope-intercept form

3 0

3 years ago