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Komok [63]
3 years ago
15

you have set a goal to save $300 by the end of the year. if you have already saved 52% of your goal, how much more money do you

need to save by the end of the year?
Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

144

Step-by-step explanation:

100% of 300 is 300

50% of 300 is 150

2% of 100 = 2 which means that 2% of 300 = 6

150+6 = 156

300-156 = 144

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You are given 1000 one dollar bills and 10 envelopes. Put the bills into the envelopes in such a way that someone can ask you fo
taurus [48]

Answer:

We can do it with envelopes with amounts $1,$2,$4,$8,$16,$32,$64,$128,$256 and $489

Step-by-step explanation:

  • Observe that, in binary system, 1023=1111111111. That is, with 10 digits we can express up to number 1023.

This give us the idea to put in each envelope an amount of money equal to the positional value of each digit in the representation of 1023. That is, we will put the bills in envelopes with amounts of money equal to $1,$2,$4,$8,$16,$32,$64,$128,$256 and $512.

However, a little modification must be done, since we do not have $1023, only $1,000. To solve this, the last envelope should have $489 instead of 512.

Observe that:

  1. 1+2+4+8+16+32+64+128+256+489=1000
  2. Since each one of the first 9 envelopes represents a position in a binary system, we can represent every natural number from zero up to 511.
  3. If we want to give an amount "x" which is greater than $511, we can use our $489 envelope. Then we would just need to combine the other 9 to obtain x-489 dollars. Since x-489\leq511, by 2) we know that this would be possible.

4 0
3 years ago
Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6
svetlana [45]

Answer: 21.5cm³

Step-by-step explanation: This is your answer there is no way it is incorrect

4 0
2 years ago
Type the correct answer in the box. Round your answer to the nearest hundredth.
AURORKA [14]

Check the picture below.

4 0
3 years ago
Find the inverse of the function.
asambeis [7]

Answer:

A) f^{-1}(n)= (n+2)^3

Step-by-step explanation:

f(n) = \sqrt[3]{n} -2

y = \sqrt[3]{n} -2

y = n^{1/3}-2

n = y^{1/3} -2

n + 2 = y^{1/3}

y = (n + 2) ^3

f^{-1}(n) = (n + 2)^3

Hope this helps!

7 0
2 years ago
Read 2 more answers
Maritza esta vendiendo una bicicleta seminueva que ya no utiliza. Como le costo doscientos soles, incluido IGV, ahora la venderá
Sophie [7]

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

8 0
3 years ago
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