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amid [387]
3 years ago
9

The value of a gold coin picturing the head of the Roman Emperor Vespasian is increasing at the rate of 5% per year. If the coin

is worth $105 now, what will it be worth in 11 years?
Mathematics
2 answers:
valkas [14]3 years ago
7 0

Answer:

$179.59

Step-by-step explanation:

Step 1 Write the exponential growth function for this situation.

y = a(1 + r)t Write the formula.

= 105(1 + 0.05)t Substitute 105 for a and 0.05 for r.

= 105(1.05)t Simplify.

Step 2 Find the value in 11 years.

y = 105(1.05)t Write the formula.

= 105(1.05)11 Substitute 11 for t.

≈ 179.59 Use a calculator and round to the nearest hundredth.

bazaltina [42]3 years ago
6 0

Answer:

255.75

Step-by-step explanation:

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Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b
4vir4ik [10]
The value of "b" is the y-intercept.

In order to figure out slope-intercept form you need 1 coordinate and the slope.
1) Find the slope, using the 2-point slope formula: "m= y2-y1 / x2-x1".
   ex. m= -5 - 3 / -4 - -6   (simplify)--->   m= -4

2) Fill in the blanks for point-slope formula: "y - y1 = m (x - x1)"
(choose one coordinate, it doesn't matter which one)
   ex. y - -5 = -4 (x - -4)

3) Then use basic algebra to simplify.


7 0
3 years ago
Given f(x) = x -7 and g(x) = x^2 Find g(f(4))
mixer [17]
G(f(4)) = g(4-7) = g(-3) = (-3)² = 9

g(f(4)) = 9
3 0
3 years ago
Solve 6x+57=2x+315 . A. x=−911 B. x=911 C. x=119 D. x=−119
liubo4ka [24]

Explanation:

Remember: we have to isolate the variable x, so that means we have to get x by itself.

Step 1:

Let’s look at our equation:

6x+57=2x+315

Let’s subtract 2x from both sides of the equation, since our goal is to isolate the variable. You could also subtract 6x from both sides, but you would end up with a negative number, and I find it easier to deal with positive numbers.

6x(-2x)+57=2x(-2x)+315\\4x+57=315

Step 2:

Now, let’s subtract 57 from both sides of our equation.

4x+57(-57)=315(-57)\\4x=258

Step 3:

Since we have to isolate x, let’s divide both sides of the equation by 4.

4x/4=x\\258/4=64.5

Our final answer: x = 64.5

None of your options is the correct answer. Notify your teacher, tutor, etc. since there none of the options are correct.

4 0
3 years ago
​Thirty-six percent of customers who purchased products from an​ e-commerce site had orders exceeding 110. If ​17% of customers
Dvinal [7]

Answer:

The right solution is "0.5".

Step-by-step explanation:

According to the question,

P(pay with the sponsored credit card | order exceeds $110)

= \frac{P(Pay \ with \ the \ sponsored \ credit\ card\ and\ order\ exceeds\ 110)}{P(order \ exceeds \ 110)}

= \frac{P(A \ and \ B)}{P(A)}

By putting the values, we get

= \frac{0.17}{0.34}

= 0.5

Thus, the above is the right solution.

3 0
2 years ago
1) A golf store pays its wholesaler $40 for a certain club, and then sells it to
Rina8888 [55]

Answer:

69

Step-by-step explanation:

+#:2:$;$;$:*&#::jsgsvszgsvvsvs

5 0
3 years ago
Read 2 more answers
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