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kramer
3 years ago
8

Suppose that $7000 is placed in a savings account at an annual rate of 5.6%, compounded semi-annually. Assuming that no withdraw

als are made, how long will it take for the account to grow to $8036?
Mathematics
1 answer:
madreJ [45]3 years ago
8 0

Answer:

2.5 years

Step-by-step explanation:

Amount= $8036

Principal= $7000

Rate =5.6%

t= ?

n= 2

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

8036= 7000(1 + 0.028)^2t

1.148= (1 + 0.028)^2t

log(1.148) = log (1 + 0.028)^2t

0.05994= 2t × 0.01199

t= 2.5 years

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A right triangle is displayed.<br> 36 in<br> 60 in<br><br><br> The area of the right triangle is
devlian [24]

Answer:

864 in²

Step-by-step explanation:

Use the pythagorean theorem to find the missing side.

36²+x²=60² (x is the missing length of the side)

1296 + x² = 3600

x² = 2304

x = 48

Then use the area of a triangle formula: base·height/2

Substituting 36 for the height and 48 for the base, we get:

48·36/2, which is <u>864</u>.

3 0
3 years ago
What is the value of x for which (8-x)^2=x^2
I am Lyosha [343]

Answer:

x = 4

Step-by-step explanation:

{x}^{2}  =  {(8 - x)}^{2}

=  >  {x}^{2}  =  {x}^{2}  - 16x + 64

=  >  {x}^{2}  -  {x}^{2}  + 16x = 64

=  > 16x = 64

=  > x =  \frac{64}{16}  = 4

5 0
3 years ago
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A metal bar weighs 9.25 ounces. 65% of the bar is gold. how many ounces of gold is in the bar?
Elza [17]
Not sure I'm right but:

If the bar weighs 9.25 ounces and 65% of the bar is gold, you'd do 65% of 9.25. So the answer would be <span>65% of 9.25= 6.0125</span>
6 0
3 years ago
Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to
blondinia [14]

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

3 0
3 years ago
What is 3 1/4 +( 3 1/4 +5 1/5)?
monitta

Answer:16.5

Step-by-step explanation:

3 0
3 years ago
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