<h3>Given:</h3>
- P= $12500
- R= 10%
- T= 3 years
<h3>Note that:</h3>
- P= Principal amount
- R= Rate of interest
- T= Time period
<h3>To find:</h3>
- The simple interest
- The total amount paid
<h3>Solution:</h3>
First, we'll have to multiply, principal amount (12500), rate (10) and time period (3).
Now, we'll have to divide the amount (375000) by 100.
<em>I=$3750</em>
Now, we can find the total amount paid.
Let's substitute according to the formula.
<em>A=$16250</em>
<u>Therefore</u><u>,</u><u> </u><u>simple</u><u> </u><u>interest</u><u> </u><u>is</u><u> </u><u>$</u><u>3</u><u>7</u><u>5</u><u>0</u><u> </u><u>and</u><u> </u><u>$</u><u>1</u><u>6</u><u>2</u><u>5</u><u>0</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>in</u><u> </u><u>total</u><u>.</u>
S(t) = S0·(1 + rate)t<span>S(t) = salary at year t
<span>S0 = starting salary = $35,000
</span>rate = 4% = 0.04
<span>t = years</span></span>
<h2>9.</h2><h3>Given</h3>
<h3>Find</h3>
- linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>
The equation for volume of a sphere is
... V = (4/3)π·r³
Differentiating gives
... dV = 4π·r²·dr
Filling in the given numbers gives
... change in volume ≈ 4π·(15 cm)²·(0.4 cm)
... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick
<h2>11.</h2><h3>Given</h3>
- an x by x by 2x cuboid with surface area 129.6 cm²
- rate of change of x is 0.01 cm/s
<h3>Find</h3>
<h3>Solution</h3>
The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².
The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is
... dV/dt = (d/dt)(2x³) = 6x²·dx/dt
We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...
... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
Answer:
Its either 300 or 315
Step-by-step explanation:
Mainly because 20 ×15= 300 but the triangles on the side, I can't figure it out. I eliminated 82 and 420, 420 mainly because I got it wrong and 82 doesn't make sense.
Think of debt to GDP as a fraction. Debt / GDP
<span>So the two ways the ratio can decrease is if the nominator decreases (for example 2/3 goes to 1/3), or the denominator increases (1/3 goes to 1/4).
Dose this help?</span>
