Answer: The answer would be B
Step-by-step explanation:
If Heather puts in 1.36% of her salary into a retirement account and she makes $63,000 in a year, this can be solved by 1.36% x 63000. First convert 1.36% into a decimal. To do this, divide by 100.
1.36/100=0.0136
1.36% x 63000
=0.0136 x 63000
=856.8
Heather would put $856.8 in for the whole year. To find how much per month, divide by 12.
856.8/12=71.<span>4
</span>Rounded to the nearest dollar is $71.
Heather would put $71 into a retirement account each month.
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</em><em>Note: This was solved by multiply the percent and then dividing by 12 months. You could also do this by dividing by 12 months first and then multiplying the percent.</em>
Answer:
6. 36°
7. 33.1 cm
Step-by-step explanation:
6. The tangent function relates the sides of a right triangle to the acute angles. Here, the angle west of south that is the direction of the ship from harbour is related to the distances by ...
tan(angle) = (18 km)/(25 km)
Then the angle can be found using the inverse tangent function:
angle = arctan(18/25) ≈ 35.75°
The direction back to the harbour is this same angle east of north. Since bearing angles are measured clockwise from north, the desired bearing is 36°.
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7. The cosine function relates the hypotenuse of a right triangle to the side adjacent to the angle of interest. Here, we have ...
cos(72°) = (diameter of glass)/(straw length to glass rim)
straw length to glass rim = (diameter of glass)/cos(72°) ≈ (9 cm)/0.309017
straw length to glass rim ≈ 29.1 cm
The straw extends 4 cm above the rim of the glass, so is 4 cm longer than this calculated value. The straw is about 33.1 cm long.
