I WILL GIVE BRAINLIYEST HELP ASAP box has 1 red marble, 1 blue marble, and 4 green marbles of the same shape and size. Dan draws
2 answers:
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Answer:
C
Step-by-step explanation:
The secant- tangent angle MLK is half the difference of the intercepted arcs, that is
(KN - KM) = 70° ( multiply both sides by 2 to clear the fraction )
KN - KM = 140°
KN - 61° = 140° ( add 61° to both sides )
KN = 201° → C
Douglas invested $ 1300 altogether
<em><u>Solution:</u></em>
Let x represent the amount invested in the account paying 14% interest.
Let y represent the amount invested in the account paying 5% interest
He invests three times as much in an account paying 14% as he does in an account paying 5%
Which means,
x = 3y
<em><u>The simple interest is given by formula:</u></em>
Where,
"p" is the principal
"n" is the number of years
"r" is the rate of interest
<em><u>He earns $152.75 in interest in one year from both accounts combined</u></em>
Therefore,
Combined S.I = 152.75
n = 1 year
<em><u>Considering the account earning 14% interest:</u></em>
<em><u>Considering the account earning 5% interest:</u></em>
<em><u>Since, Combined S.I = 152.75</u></em>
Therefore,
0.42y + 0.05y = 152.75
0.47y = 152.75
Divide both sides by 0.47
y = 325
Therefore,
x = 3y
x = 3(325)
x = 975
<em><u>how much did he invest altogether?</u></em>
Amount invested together = x + y = 975 + 325 = 1300
Thus he invested $ 1300 altogether
First, we must solve for the radius of the sphere:
V=
r=(3
)
r=(3*
)
r≈5.99
Second, we must solve for surface area:
A=4
A=4**
A≈450.88
V=
r=(3
r=(3*
r≈5.99
Second, we must solve for surface area:
A=4
A=4*
A≈450.88