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vlabodo [156]
3 years ago
15

Abby invested 4,500 in a saving account where she earned 2.5%interest compounded quarterly. She miscalculated what the accumulat

ed value would be in her account after 5 year
Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:  the final balance is $5,097.18

The total compound interest is $597.18

Step-by-step explanation:

You might be interested in
What is the value of 56 - (3 to the power of 3 + 13)
kumpel [21]

Answer:

16

Step-by-step explanation:

3^3=27 then you have 27+13=40 now you have 56-40=16

3 0
3 years ago
The length of the longer leg of a right triangle is
Harman [31]
A and b are legs
a^2+b^2=c^2
lets say
a>b

so
a=13+3b
c=14+3b

a^2+b^2=c^2
(13+3b)^2+b^2=(14+3b)^2
9b^2+78b+169+b^2=9b^2+84b+196
10b^2+78b+169=9b^2+84b+196
minus 9b^2 both sides
b^2+78b+169=84b+196
minus 84b both sides
b^2-6b+169=196
minus 196 both sides
b^2-6b-27=0
factor
(b+3)(b-9)=0
set to zero
b+3=0
b=-3, false, dimentions cannot be negative

b-9=0
b=9

shorter leg is 9

a=13+3b
a=13+3(9)
a=13+27
a=40

c=14+3b
c=14+27
c=41

side legnths are
9in, 40in, 41in
3 0
3 years ago
Find the appropriate function
Sati [7]

Answer:

y = 0.5sin(4x)

Step-by-step explanation:

y = A sin(B(x + C)) + D

amplitude is A = 0.5

B = 2π/period = 2π / (1/2 π) = 4

phase shift is C (positive is to the left) = 0

vertical shift is D = 0

4 0
3 years ago
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through
ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0
3 years ago
For a suitcase to be checked on a flight (instead of carried by hand), it can weigh at most 50 pounds. Andre’s suitcase weighs 2
solmaris [256]

Answer:

No, I don't think so.

Step-by-step explanation:

If his suitcase weighs 23 kg and 10 kg is 22 pounds. You could seperate it. 10, 10, and 3 meaning 22+22= 44. This would mean that 1 kg would equal about 2.2 a pound. So 44 + ( 2.2 x 3 ) = 50.6 kg.

It would be 0.6 k.g over. I think this is right unless I calculated this wrong.

5 0
3 years ago
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