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ryzh [129]
2 years ago
14

Jeremy invests $8, 500 into an account with a 2.4% interest rate that is compounded quarterly. How much money will be in

Mathematics
1 answer:
sertanlavr [38]2 years ago
5 0

Answer:

  $9,812.29

Step-by-step explanation:

The amount in Jeremy's account can be computed using the compound interest formula.

__

<h3>account value</h3>

The formula for the value of an account earning compound interest at annual rate r, compounded n times per year for t years is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested.

__

<h3>formula application</h3>

When P=$8500, r=0.024, n=4, t=6, the formula becomes ...

  A = $8500(1 +0.024/4)^(4·6) = $8500(1.006^24) ≈ $9812.29

There will be $9,812.29 in this account after 6 years.

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Solve the problem x - 8/5 equals 2/4
katrin [286]

Answer:

x = 2.1

Step-by-step explanation:

  1. Calculate 8/5 and 2/4 into numbers: 8/5 = 1.6, 2/4 = 0.5
  2. Add 1.6 to 0.5: 1.6 + 0.5 = <u>2.1</u>
3 0
3 years ago
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Is x + 5 less than 4
OleMash [197]

Answer:

Yes, if x < -1

Step-by-step explanation:

Is x + 5 less than 4?

x + 5 < 4

x < 4 - 5

x < -1

Yes, if x < -1

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3 years ago
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A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?
tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

3 0
3 years ago
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is form
ZanzabumX [31]
Draw ΔABC as shown in the figure below.
m∠B = 137°, b = 14, c = 9.

From the Law of Sines,
sin(C)/c = sin(B)/b
or
sin(C)/9 = sin(137°)/14
sin(C) = (9/14)*sin(137°) = 0.4384
m∠C = arcsin(0.4384) = 26°

Because the sum of angles in a triangle is 180°, therefore
m∠A = 180 -137 - 26 = 17°

From the Law of Sines,
a/sin(A) = b/sin(B)
or
a/sin(17°) = 14/sin(137°)
a = (sin(17°)/sin(127°))*14 = 6

Answer:
The solution for the triangle is
a = 6,         b = 14,           c = 9
m∠A = 17°, m∠B = 137°, m∠C = 26°

3 0
3 years ago
12 m<br> 9 m<br> 10 m<br> Area:<br> Find the area
Nataliya [291]

Answer:

A= b×h

b=12

h=9

12×9= 108

A=108m

Hope this helps.

5 0
3 years ago
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