Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375

Answer:

  17 years

Step-by-step explanation:

The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

Solving for t, we find ...

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

  log(A/P) = nt·log(1 +r/n) . . . . take logarithms

  t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t

For the given values, the time required is ...

  t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353

It would take about 17 years for the account value to reach $1740.

_____

Additional comment

The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.

Answer: A is correct i think

Step-by-step explanation:  6a x 5 = 30a

                                              6a x d = 6ad

Answer:

A

Step-by-step explanation:

Answer:

24 Degrees Farinhieght.

Step-by-step explanation:

15 degrees farinhieght added to 9 is 24 degrees.

Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

Answer:

43

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

12x5-17 would be the equation

60-17 multiplication due to PEMDAS

43 subtraction

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Add vaslues

Step-by-step explanation:

How much money does kayla have?

Given:

The recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]

[tex]a_1=-3[/tex]

To find:

The explicit formula of the given geometric sequence.

Solution:

We know that, first term of geometric sequence is [tex]a_1=-3[/tex].

Recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\times r[/tex]      ...(i)

where, r is common ratio.

We have,

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]    ...(ii)

On comparing (i) and (ii), we get

[tex]r=\dfrac{1}{8}[/tex]

The explicit formula of a geometric sequence is

[tex]a_n=a_1r^{n-1}[/tex]

Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get

[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]

Therefore, the correct option is D.

Answer:

nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎

Answer:

(-1, -2)

Step-by-step explanation:

Answer:

[tex]u = - 144[/tex]

Step-by-step explanation:

[tex] - 24 = u \div 6[/tex]

[tex] - 24 \times 6 = u[/tex]

[tex] - 144 = u[/tex]

to be sure

[tex] - 24 { = }^{?} - 144÷6[/tex]

[tex] - 24 = - 24[/tex]

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS

Answer:

-3/2 I believe is the answer,

Step-by-step explanation:

Notice that the (left to right) line is going down, indicating it is negative.

Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong

Answer:

Step-by-step explanation:

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

We are given:

To Find: ∠E

Concept Used:

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Answer:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Step-by-step explanation:

1)

Given the expression

[tex]10!\times \:20![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]

[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

Now, multiplying the result

[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

so

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

Thus, we conclude that:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

2)

Given the expression

[tex]17!\:\times \:9![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]

[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

Now, multiplying the result

[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

so

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Thus, we conclude that:

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

Answer:

very inspirational thanks

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

Answer:

0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08

Step-by-step explanation:

Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8

Step-by-step explanation:

First find the greatest

0.09, 0.89,0.81, 0.08, 0,79

Then the least

0.9 .0.8

Now put it all together  

0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

−

1

3

n

+

7

−

7

=

−

1

−

7

3

n

+

0

=

−

8

3

n

=

−

8

3

n

3

=

−

8

3

3

n

3

=

−

8

3

n

=

−

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

−

7

=

1

−

7

3

n

+

0

=

−

6

3

n

=

−

6

3

n

3

=

−

6

3

3

n

3

=

−

2

n

=

−

2

The solution is:

n

=

−

8

3

and

n

=

−

2

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

Answer:

342

Step-by-step explanation:

50+4x=y

x=73

Answer:

The 99% confidence interval is   [tex] 165.776  <  \mu <  180.224  [/tex]  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

     The sample mean is  [tex]\= x = 173 \ days[/tex]

      The population standard deviation is  [tex]\sigma = 28 \ days[/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.58  *  \frac{28 }{\sqrt{100} }[/tex]

=>    [tex]E = 7.224 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 173 -7.224  <  \mu < 173 + 7.224  [/tex]    

=>     [tex] 165.776  <  \mu < 180.224  [/tex]