For a right triangle with one leg = 3.24 cm and a hypotenuse = 7.16 cm, find the length of the missing leg

The difference in the account balance after 30 years if the electrician's investment was compounded continuously instead of twice per year would be $83.63.

Value is the worth of something that is measured in terms of its quality, importance, and usefulness. It is a fundamental concept in economics, finance, and business, as it reflects the perceived benefits of a good or service compared to its cost. Value can be subjective, as it is often based on personal opinion or preference. It can also be quantified and measured in terms of money, time, or resources.

Compound interest is the concept of earning interest on the initial principal and any interest previously earned. When the interest is compounded continuously, the interest is added to the principal more frequently than when it is compounded semiannually, resulting in a larger final balance.

The electrician's initial investment of $9,000 compounded semiannually at 2.45% for 30 years would have a balance of $18,685.71.

However, if the same investment had been compounded continuously at 2.45%, the balance after 30 years would be $18,769.34, which is $83.63 more than the semiannually compounded balance.

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Answer:

$83.63

Step-by-step explanation:

The rest are wrong.

Answer: 28/5

Step-by-step explanation:

5.6/1x10/10= 56/10

​

56/10=28/5

Answer:

Doesn't make sense but with the information given. To find the percentage of glass beads on the necklace, you need to divide the number of glass beads by the total number of beads and multiply by 100.

You can use the formula:

percent = (number of glass beads / total number of beads) x 100

In this case:

percent = (75 / 150) x 100 = 0.5 x 100 = 50

So, 50% of the beads on the necklace are glass.

To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.

A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.

If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.

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The value of the missing angle m<JKL is; 46º

Since we are told that the angle KN bisects ∠LKM then to get m<LKN, we just multiply 26° by 2 to get;

m<LKM =  26° * 2

= 52º

Now, since JKM is the total of all angle measurements, then we can say that;

88 - 52 = 36 degrees

Thus; m<JKL = 46º

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Answer:

IF tan(theta) = -8/7 = opposite side/adjacent side, then that means that sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526

Step-by-step explanation:

the tangents are negative in the quadrant II or IV

and sines are negative in the quadrant III or IV

so i think that this angle is in quadrant IV to satisfy for the of the both requirements.

but angle 0 seems to try and mean something other than 0 degrees or 0 radians. so It probably just means theta, which is a 0 probably with a line through it

IF tan(theta) = -8/7 = opposite side/adjacent side, then sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526

I hope this helps

Answer:

23

Step-by-step explanation:

Given Information:

If we have to evaluate f(-2), we can consider that f(x) = f(-2) = 6x²- 2x - 5.

Now, we can substitute the solution into the quadratic equation and simplify it to its simplest possible form using the solution (x = -2).

Therefore, the evaluated form for f(-2) is 23.

Answer:

medical necessity

Answer:

Refer to the step-by-step

Step-by-step explanation:

Since ∠1 and ∠2 are alternate exterior angles, m∠2=108°

The average pace of Malik is 0.182 mile per minute.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Distance Malik rode on a trail = 10 miles

Malik biked a new trail in a total of 57.5 minutes.

But he took 2.5 minutes as water break.

Total time Malik took to cover the distance = 57.5 minutes - 2.5 minutes

                                                                        = 55 minutes

We have to calculate the average pace of Malik which is actually the speed.

Speed = Distance / Time

           = 10 miles / 55 minutes

           = 0.182 mile per minute

Hence Malik rides in an average pace of 0.182 mile per minute.

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Answer:

x <−11 or x >7

Step-by-step explanation:

Answer:

x < –11 or x > 7p

explanation:

I got it right on the test.

The original price of the blender before the discount is $49.41.

We shall represent the original price of the blender with the letter x so that we use $x to evaluate for the original price before the discount price as follows:

x - 15x/100 = $42 {simply the left hand expression to a single fraction}

(100x - 15x)/100 = $42 {simply the terms in the bracket}

$85x/100 = $42

$85x = $4200 {cross multiplication}

$85x/$85 = $4200/$85 {divide through by $85}

x = $49.41

Therefore, the original price of the blender before the discount is $49.41

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Answer:

$1.899

Step-by-step explanation:

Divide $45.58 by 24 for the unit price of each gallon

Answer: Approx. $1.899

Step-by-step explanation:

let the price per gallons be G

24G = 45.58

G = 45.58/24 = 1.899

The ratio of carp to salmon for each lake is given as follows:

Then the ascending order on the proportion of fish that are salmon is given as follows:

Lake b, Lake c, Lake c.

The ratio of an amount A over an amount B is obtained applying the proportion of these amounts, that is, the division of A by B.

The ratios of carp to salmon, in the form 1:n, are obtained considering that n is the division of the number of salmon by the number of carp, hence:

The higher rates of salmon have the higher values of n, thus the ascending order of the proportion of fish that are salmon is given as follows:

Lake b, Lake c, Lake c.

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No , 904 is not divisible by 3 because sum of 9+0+4 =13 which is not divisible by 3 so number 904 is not divisible by 3

There are 301 numbers less than 904 divisible by 3, as per arithmetic progression.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Let, there are 'n' terms less than 904 divisible by 3.

Now, the first term divisible by 3 is(a) = 3.

The second term divisible by 3 is = 6.

Therefore, the common difference between terms divisible by 3 is(d)

The last term that is less than 904 and divisible by 3 is() 903.

Now, if we compare it with arithmetic progression, then:

The required number is 301.

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Answer:

HK and GJ is the diameter of circle L.

Step-by-step explanation:

Answer:

Either GJ or HK

Step-by-step explanation:

Im not sure if im reading ot correctly bit ye diameter is the full line in the moddle and they both are so it's probably those 2

The monthly payment with given simple interest will be $673.

What is simple interest?

Simple Interest is an easy method of calculating the interest for a loan/principal amount. Simple interest is a concept that is used in many sectors such as banking, finance, automobile, and so on. When you make a payment for a loan, first it goes to the monthly interest and the remaining goes towards the principal amount.

Simple interest formula is given as:

SI=P*R*T/100

Where SI = simple interest

P = principal

R = interest rate (in percentage)

T = time duration (in years)

In order to calculate the total amount, the following formula is used:

Amount (A) = Principal (P) + Simple Interest (SI)

Now,

Amount to Borrow=$28716

Rate=3.12%

Time=4 years

SI=28716*3.12*4/100

=$3584

Total amount to pay=28716+3584

=$32300

Hence,

        monthly payment for 4 years =32300/48

  monthly payment=$673

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Answer:

The scale factor is 3. Step-by-step

Step-by-step explanation:

The area of the floor of a square room in square meter whose each side is 800 cm is 640000 cm ^ 2.

The area of a square or square shaped figures is:

area = side x side or (side) ^2

The length of the side of the floor of the given square room is:

800 cm

Therefore, area of the floor of the given square room is:

800 cm x 800 cm = 640000 cm ^ 2.

Thus, the area of the floor of the given square room in square meter whose each side is 800 cm is 640000 cm ^ 2.

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The line of the best fit of the scatter plot is line 2

From the question, we have the following parameters that can be used in our computation:

The graph

A good line of best fit would have equal number of points on either sides

On the graph, we can see that the lines 1 and 3 divide the points on the line unevenly

Where as, the line 2 divides the scatter points approximately evenly

Hence, the line of the best fit is line 2

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Answer:

17.13953 mph

I just did it these ways with a speed calculator

Step-by-step explanation:

y = 14x + 15 would be the slope-intercept form

Hello there!

∆ABC and ∆XYZ are simular so:

[tex] \displaystyle \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \\ \\ \frac{2}{10} = \frac{5}{25} = \frac{AC}{20} \\ \\ \frac{1}{5} = \frac{1}{5} = \frac{AC}{20} \\ \\ \frac{AC}{20} = \frac{1}{5} \\ \\ AC = \frac{20 \times 1}{5} = 4[/tex]

Answer: 4

Answer:

4

Step-by-step explanation:

We have to find length of AC in ΔABC

Since ΔABC is similar to ΔXYZ, the corresponding sides of ΔABC to the corresponding sides of ΔXYZ should be of similar ratio

Equivalently stated

[tex]\dfrac{AB}{XY} = \dfrac{BC}{YZ} = \dfrac{AC}{XZ}[/tex]

Plugging in known values we get

[tex]\dfrac{AB}{XY} = \dfrac{2}{10} = \dfrac{1}{5}\\\\\dfrac{BC}{YZ} = \dfrac{5}{25} = \dfrac{1}{5}\\[/tex]

Thus we see that the length of each side of ΔABC is one-fifth the length of each corresponding side of ΔXYZ.

So

[tex]AC =\dfrac{1}{5} XZ = \dfrac{1}{5} \cdot 20 = 4[/tex]

Answer:

1. x= -1 & x= -13

2. x= -3 & x= -4

3. x= -3 & x= -5

4. x= -6 & x= -2

5. x= -5 & x= -2

8. x= -7 & x= -3

9. x= -8 & x= -2

10. x= -3 & x= -3

11. x= -5 & x= -4

12. x= -2 & x= -2

13. x= -6 & x= -7

14. x= -6 & x= -3

15. x= -10 & x= -7

Step-by-step explanation:

hope this help :)

Jake's box is 8 times greater than Havana's box.

The volume of a cuboid is found by multiplying the length by the breadth by the height.

Given here: Two boxes Jake's and Havana's with Havana's box with dimensions half of Jake's

Therefore the ratio of the volume is = 12× 4 ×8 /6× 2× 4

                                                             =8

Hence, ake's box is 8 times greater than Havana's box.

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