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guajiro [1.7K]
3 years ago
11

Lucy deposited $2500 into an account that earns 3% compound interest. How much interest will Lucy earn after 5 years?​

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer: 398.18519

Step-by-step explanation:

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The hyperbola's____ is the point halfway between its two vertices
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Steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. If the ramp make a 30° angle wi
scoray [572]

Answer:

6.25 feet.

Step-by-step explanation:

Please find the attachment.

Let L be the length of the ramp in feet.  

We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.

We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.

\text{Sine}=\frac{\text{Opposite}}{\text{Hypotenuse}}

Upon substituting our given values in above formula we will get,

\text{Sin(30)}=\frac{37.5}{L}

L=\frac{37.5}{\text{Sin(30)}}

L=\frac{37.5}{0.5}

L=75

Therefore, the length of the ramp is 75 inches.

Let us convert the length of ramp in feet.

1 feet = 12 inches.

\text{75 inches}=\frac{75\text{ inches}}{\frac{12\text{ inches}}{\text{feet}}}

\text{75 inches}=\frac{75\text{ inches}}{12}\times \frac{\text{ feet}}{\text{inches}}

\text{75 inches}=\frac{75}{12}\times\text{ feet}

\text{75 inches}=6.25\text{ feet}

Therefore, the length of the ramp is 6.25 feet.

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4 years ago
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What is the 42rd term in the arithmetic sequence 15,11,7 (give solution)
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Answer:

a

Step-by-step explanation:

becase it is

8 0
3 years ago
Please help I'll give a crown if you answer correctly.​
Hoochie [10]

Answer:

2) 1. 73

   2. 107

   3. 73

   4. 107

   5. 73

   6. 107

   7. 73

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4) 1. 46  

   2. 134

   3. 46

   4. 134

   5. 46

   6. 134

   7. 46

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Step-by-step explanation:

  • Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal).
  • Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.
3 0
3 years ago
“CAN”
Mandarinka [93]

Answer:

The 5 in the tens place is 10 times greater than the 5 in the ones place

Step-by-step explanation:

You can do 5*10 witch would get you 50 and 50 is 10 times greater than 5.

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