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3 years ago

9

A spinner has red, green, blue and orange sections. The probability of landing on red is 2/3,on green 1/12, on blue is 1/12. Wha

t is the probability of landing on orange.

1 answer:

lesya [120]3 years ago

7 0

Answer: P(landing on orange)=1 - [2/3 + 1/12 + 1/12]

so <em><u>=1/6</u></em>

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Claire invested $2,400 in an account paying an interest rate of 3.5% compounded monthly. Assuming no deposits or withdrawals are

nevsk [136]

Answer:

18 years (to the nearest year)

Step-by-step explanation:

<u>Compound interest formula</u>:

$A=P(1+\frac{r}{n})^{nt}$

where A is amount, P is principal, r is interest rate (decimal format), n is the number of times interest is compounded per unit 't', and t is time

Given:

A = 4490
P = 2400
r = 3.5% = 0.035
n = 12

$\implies 4490=2400(1+\frac{0.035}{12})^{12t}$

$\implies \dfrac{449}{240}=\left(\dfrac{2407}{2400}\right)^{12t}$

$\implies \ln\dfrac{449}{240}=\ln\left(\dfrac{2407}{2400}\right)^{12t}$

$\implies \ln\dfrac{449}{240}=12t\ln\left(\dfrac{2407}{2400}\right)$

$\implies t=\dfrac{\ln\dfrac{449}{240}}{12\ln\left(\dfrac{2407}{2400}\right)}$

$\implies t=17.92277136...$

Therefore, it would take 18 years (to the nearest year) for the account to reach $4,490

5 0

3 years ago

3(12+b)=3•12+3•b

Olegator [25]

Distributive. The multiplication is distributed across the addition.

5 0

3 years ago

There are 32 more pupils in the Robotics Club than in the Art Club. The number of pupils in the Robotics Club is 18 less than 3

ch4aika [34]

78 pupils,
32r =18
R=3a-18
R= 3(32)-18
R=96-18

8 0

3 years ago

What are the coordinates of point A?<br><br> o (5, 1)<br><br> (1, 5)<br><br> O (-1, 5)

leonid [27]

Answer:

(1, 5)

Step-by-step explanation:

x is 1 to the right

y is 5 up

Therefor

(1, 5)

8 0

3 years ago

Find the area of the triangle...

Alekssandra [29.7K]

In order to find height (h), tan20 = h/26
$h = 26 \tan(20) = 9.46$
Now for the left part of base (b1), where b2 = 26 and entire base (b) = b1+b2
$\tan(36) = h \div b1 \\ b1 = 9.46 \div \tan(36) = 13.03$
So b = 13.03+26 = 39.03

Now Area (A) = 1/2bh = 1/2 (39.03)(9.46)
A = 184.59

4 0

3 years ago