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-Dominant- [34]
3 years ago
12

A deposit of $3,000 is made into a savings account which earns 5 1 8 % interest compounded annually. If no additional deposits o

r withdrawals are made, which amount is the total balance at the end of 7 years?
A) $4,076.25

B) $4,221.30

C) $4,256.60

D) $4,364.04
Mathematics
1 answer:
alina1380 [7]3 years ago
4 0

Answer:

$4,256.60

Step-by-step explanation:

FV = PV × (1 + r)n

FV = 3000 × (1.05125)7 = 4256.60

where:

FV = Future Value

PV = Present Value

r = annual interest rate

n = number of periods

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A researcher collects data on the number of times race horses are raced during their careers. The veterinarian finds that the av
vesna_86 [32]

Answer:

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

Step-by-step explanation:

<u>Explanation</u>:-

The veterinarian finds that the average number of races a horse enters is 15.3

The mean of the sample x⁻ = 15.3

Given standard deviation of the sample 'S' = 6.8

Given sample size 'n' = 25

Degrees of freedom = n-1 =25-1 =24

The tabulated value 't' = 2.064 at two tailed test 0.95 level of significance

<u> 95% confidence for µ, the average number of times a horse races</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +  t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u></u>(15.3- 2.064 \frac{6.8}{\sqrt{25} } , 15.3 +  2.064\frac{6.8}{\sqrt{25} } )<u></u>

(15.3 - 2.80704 ,15.3 +2.80704)

(12.493 , 18.107)

<u>Conclusion</u>:-

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

3 0
3 years ago
Evaluate the ex’s press ion when a=2 and c= -6. 2a+c
Galina-37 [17]

Step-by-step explanation:

2a+c

=2( 2+(-6) )

=2( -4 )

= -8

3 0
3 years ago
Can I please have some help!!!
mafiozo [28]
Angle BCA would be angle bca would be 35 using the angle sum property and I angle cae would be same as they are alternate angles. And angle cae would be the same as angle x as they are vertically opposite angle


Therefore angle x is
4 0
3 years ago
What is the point slope form of the line with slope -1/4 that passes through the point ( -2,9 )
morpeh [17]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{1}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{1}{4}}[x-\stackrel{x_1}{(-2)}]\implies y-9=-\cfrac{1}{4}(x+2)

8 0
4 years ago
What is the value of x<br> 2(3x+4)=5x+3x-4
stiks02 [169]

Answer:

x=6

Step-by-step explanation:

2(3x+4)=5x+3x-4

combine all like terms and distribute

6x+8=8x-4

-8 -8

6x= 8x-12

-8x -8x

-2x= -12

x= 6

5 0
3 years ago
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