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SpyIntel [72]
3 years ago
14

You draw one card from a standard 52-card deck. In how many ways could the card be face card or a six?

Mathematics
1 answer:
Nady [450]3 years ago
8 0
16/25 because there are 3 face cards which have 4 different suits and 4 different suits for the number 6
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5000 12% compounded quarterly compound interest table find earned after 5 years
kolezko [41]
<h3>Amount earned after 5 years is $ 9030.5561</h3>

<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

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

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

r = 12 \% = \frac{12}{100} = 0.12

<em><u>n = 4 ( since interest is compounded quarterly )</u></em>

<em><u>Substituting the values we get,</u></em>

A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561

Thus amount earned after 5 years is $ 9030.5561

7 0
2 years ago
Manuel hizo un viaje en el coche, en el cual consumió 20 litros de gasolina. El trayecto lo hizo en dos partes: en la primera, c
Alona [7]

Responder:

24 litros; 16 litros; 4 litros

Explicación paso a paso:

Dado que:

Gasolina consumida = 20 litros

Sea la cantidad de gasolina en el tanque = x

Primera parte del viaje = 2/3 de x

Segunda parte del viaje = 1/2 de (x - 2x / 3)

Cantidad de gasolina en el tanque:

2x / 3 + 1/2 (x - 2x / 3) = 20

Solución para x

2x / 3 + x / 2 - x / 3 = 20

(4x + 3x - 2x) / 6 = 20

5 veces / 6 = 20

5 veces = 20 * 6

5 veces = 120

x = 120/5

x = 24

Cantidad de gasolina en el tanque = 24 litros

Litros consumidos en cada etapa:

Primera parte = 2/3 de 24 = 48/3 = 16 litros

2a parte = 0.5 de (24 - 16) = 0.5 * 8 = 4 litros

3 0
3 years ago
What two numbers when added equal 25 and when multiplied = -200
Igoryamba
The numbers are irrational, so I can't write them exactly with digits.
When rounded to the nearest ten-thousandth, they are

       31.3746
and
       -6.3746 .
3 0
3 years ago
Natalie is flying a kite, holding her hands a distance of 2.5 feet above the ground and
Grace [21]

Answer:

50

Step-by-step explanation:

trust me bro

7 0
2 years ago
HEEELLLPP PLEASEE I GIVE BRAINLIST!!!
Mila [183]
Take any of the valid pairs of points, use the formula
rate of change = (y2-y1)/(x2-x1)

Say we use P1=(0,21.4), P2=(3,19)
x1=0, y1=21.4
x2=3, y2=19

Rate of change = (21.4-19)/(0-3)=2.4/(-3) = -0.8 sq. ft/in of liquid
4 0
2 years ago
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