Answer:
$4000
Step-by-step explanation:
Given that :
Total interest earned = $150
Let amount invested (p) at 2% = x
Amount invested (p) at 3.25% = 4x
Interest = principal * rate * time
At 2%:
(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150
0.02x + 0.13x = 150
0.15x = 150
x = 150 / 0.15
x = 1000
Hence,
Amount invested at 2% = x = 1000
Amount invested at 3.25% = 4x = 4(1000) = 4000
Answer: J) 28
Step-by-step explanation: Triangle interior angles equal 180°
The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.
On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.
S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2
The lateral area of the cylinder is 240<span>π cm^2 or in other words letter B from the given choices.</span>
Answer:
Step-by-step explanation:
1.2307692307692.
The first step is to find the proportionality constant.
The formula is
z = kx/y
1.2307692307692 = k * 4/13 Multiply both sides by 13
1.2307692307692 * 13 = 4k
16 = 4*k Divide by 4
k = 16/4
k = 4
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z = k*x/y
x = 9
y = 20
k = 4
z = 4 *9/20
z = 36/20
z = 1.8