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skad [1K]
2 years ago
6

Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter

est compounded monthly. How much money does Bella have after 3 years?
Mathematics
1 answer:
ddd [48]2 years ago
5 0

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

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a bird bath that is 3 ft talk casts a shadow that is 2 ft long.Find the height of a tent that casts a 6 ft shadow.
zheka24 [161]

Answer:

is it 5ft

Step-by-step explanation:

if the bird bath had a foot taken off in the shadow then wouldn't a foot be taken off for the tent as well

6 0
2 years ago
-5=5(d+4)<br> Please give step by step
bekas [8.4K]

Answer:

  1. first distribute the 5 to the d and 4
  2. 5(d+4) then becomes 5d+20
  3. then subtract 20 from both sides of the equation
  4. -5=5d+20 is now -25=5d
  5. lastly divide 5 from both sides
  6. -25=5d is now -5=d
  7. hope this helps!
6 0
3 years ago
7. Are the ordered pairs below an arithmetic sequence or geometric
DochEvi [55]

Answer:

8. Arithmetic Progression

9. f(9) = 300

Step-by-step explanation:

Given

\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3

This gives:

d = 45 - 55 = 35 - 45 = 25 - 35

d = -10 = -10 = -10

d=-10

<em>Because the common difference is equal, then it is an arithmetic progression</em>

<em></em>

Solving (8):

f(n) = f(1) + f(n-1)

To find f(9), we substitute 9 for n

f(9) = f(1) + f(9-1)

f(9) = f(1) + f(8)

We need to solve for f(8); substitute 8 for n

f(8) = f(1) + f(8 - 1)

f(8) = f(1) + f(7)

We need to solve for f(7); substitute 7 for n

f(7) = f(1) + f(7 - 1)

f(7) = f(1) + f(6)

We need to solve for f(6); substitute 6 for n

f(6) = f(1) + f(6 - 1)

f(6) = f(1) + f(5)

We need to solve for f(5); substitute 6 for n

f(5) = f(1) + f(5 - 1)

f(5) = f(1) + f(4)

From the function, f(4) = 25 and f(1) = 55.

So:

f(5)=55 + 25

f(5)=80

f(6) = f(1) + f(5)

f(6) = 55 + 80

f(6) = 135

f(7) = f(1) + f(6)

f(7) = 55 + 135

f(7) = 190

f(8) = f(1) + f(7)

f(8) = 55 + 190

f(8) = 245

f(9) = f(1) + f(8)

f(9) = 55 + 245

f(9) = 300

8 0
3 years ago
X-70/x&lt;-3 solve for x under the assumption that x&gt;0
Virty [35]

<span>Simplifying 0x + 7 + 5x = 2x + 30 + 40 Anything times zero is zero. 0x + 7 + 5x = 2x + 30 + 40 Combine like terms: 0 + 7 = 7 7 + 5x = 2x + 30 + 40 Reorder the terms: 7 + 5x = 30 + 40 + 2x Combine like terms: 30 + 40 = 70 7 + 5x = 70 + 2x Solving 7 + 5x = 70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 5x + -2x = 70 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = 70 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = 70 + 0 7 + 3x = 70 Add '-7' to each side of the equation. 7 + -7 + 3x = 70 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 70 + -7 3x = 70 + -7 Combine like terms: 70 + -7 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21</span>
4 0
3 years ago
What is the vertex of the graph of y = 2(x - 3)2 + 4?
Dvinal [7]

Answer:

(3, 4)

Step-by-step explanation:

vertex is (h, k)

this equation is written in the form of

y = a(x -h) +k

which is why the vertex is (3, 4)

7 0
2 years ago
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