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3 years ago

12

Armand ran the 100 yard dash in 17.18 seconds. Arturo's time has an 8 with a value 10 times the value of the 8 in Armand's time.

What could be Arturo time on the 100 yard dash?

1 answer:

frosja888 [35]3 years ago

4 0

8====D

He has a value of 64

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Jonathan has a bag that co rains exactly one red marble (r), one yellow marble (y) and one green marble (g). He chooses a marble

liraira [26]

Answer: The first outcome shall be 0.33 or 33%.

The second outcome would be 0.5 or 50%

Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;

P(Red) = Number of required possibilities/Number of all possibilities

P(Red) = 1/3

P(Red) = 0.33

Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.

After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;

P(Red) = Number of required outcomes/Number of possible outcomes

P(Red) = 1/2

P(Red) = 0.5

6 0

3 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

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

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

the function f(x) = 3,005(1+0.03)^x represents the amount of money in a savings account where x represents time in years. what d

Stolb23 [73]

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

we have

$f(x)=3,005(1+0.03)^{x}$

This is a exponential function of the form

$f(x)=a(1+r)^{x}$

where

a is the initial value

r is the growth rate

(1+r) is the base

x is the number of years

f(x) is the amount of money in a savings account

In this problem we have

a=$3,005

r=0.03=3%

(1+r)=1.03

therefore

3,005 represent the initial value ( the amount of money for the value of x equal to zero)

6 0

3 years ago

Read 2 more answers

Which is the closest approximation to the area of the circle?

Arte-miy333 [17]

A. 6082
B.120687
C.1188228
D.19042587

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3 years ago

This as a decimal 6th

makkiz [27]

Answer:

the answer to the question is 3.2

8 0

2 years ago