Answer:
p=principal T=time I= simple interest
Step-by-step explanation:
formula A=P+I
(x+1)^2+(y-2)^2=9
center:(-1,2)
radius:3
The value of x + y is 12
<h3>How to solve for x + y?</h3>
The equation is given as:
x^3 - y^3 = 218
Make x^3 the subject
x^3 = 218 + y^3
The next cubic expression greater than 218 is 343.
So, we assume
x^3 = 343
This gives
x = 7
Substitute x^3 = 343 in x^3 = 218 + y^3
343 = 218 + y^3
Evaluate the like terms
y^3 = 125
This gives
y = 5
So, we have:
x + y = 7 + 5
Evaluate
x + y = 12
Hence, the value of x + y is 12
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Answer:
a = $80.3
b = $80
c = 4
d = 16
e = 4
f = 88
g = $132
h = 33%
i = 6
j = 30
k = 21
l = $90
m = $36
o = 21/50
p = 105
q = 7
r = 8 cm
s = 2.4
t = 4
u = 400cm
v = $280
Step-by-step Explanation:
==>Increasing $72 by 10% to get a
a = 110% of $72 = 110% × $73
a = 1.1 × 73
a = $80.3
==>a ($80.3) rounded to the nearest 10 to find b = $80
b = $80
==>Writing b (80) as the product of its primes I.e.

Thus, 80 = 2⁴ * 5
c = 4
==>Calculating c² = d
d = 4² = 16
d = 16
==> ²/8 of d = e
e = ²/8 × 16
e = 2 × 2
e = 4
==> e% of 2200 = f
f = 4% × 2200
f = 0.04 × 2200
f = 88
==>Converting £f to $ = g
If £1 = $1.5,
£88 = $g
1 × g = 1.5 × 88
g = $132
==> Converting
into % = h%
h = 132÷400 ×100
h = 0.33 × 100
h = 33%
==> √(h + 3) = i
i = √(33 + 3)
i = √36
i = 6
==> i × (3 + 2) = j
j = 6 × (3 + 2)
j = 6 × 5
j = 30
==> j% of 70 = k
k = j% × 70
k = 30% × 70
k = 0.3 × 70
k = 21
==> If k bottles = $63, 30 bottles = $l
21 bottles = $63
30 bottles = $l
21 × l = 63 × 30
21l = 1,890
l = 1,890/21
l = $90
==>If Tim and Mike (m) shares $90 in the ratio 3:2, Mike (m) would receive thus:
⅖ × $90 = m
m = 0.4 × 90
m = $36
==> √m + m = n
n = √36 + 36
n = 6 + 36
n = 42
==>Converting n% to fraction = o
Thus, o = 42/100
o = 21/50
==> o of 250 = p
p = 21/50 × 250
p = (21 × 250)/50
p = 21 × 5
p = 105
==> expressing p as a product of its primes i.e. p = 3 × 5 × q
105 = 3 × 5 × 7
Therefore, q = 7
==> Given a rectangle with dimensions of q cm and r cm, with an area of 56cm². Let's find r.
Area of rectangle = length × width = q × r
Area = 56 cm²
q = 7 cm
r = ?
56 = 7 × r
56/7 = r
8 = r
r = 8 cm
==> r × 0.3 = s
s = 8 × 0.3
s = 2.4
==> s ÷ 0.6 = t
t = 2.4 ÷ 0.6
t = 4
==> If t is in meters, converting t to cm will give us u
Since 1m = 100cm
4m = u cm
1 × u = 100 × 4
u = 400cm
==> Vikki (v) and John shares $u in the ratio 7:3. Thus, Vikki (v) would receive the following:
v = ⁷/10 × $400
v = 0.7 × 400
v = $280
Answer:
60 minutes including the 15 minute rest.
Step-by-step explanation:
450/10 is 45. Therefore, biking for 45 minutes will loose 450 calories, 10 calories per minute. Maybe half way during the 45 minutes Spencer will take the 15 minute rest. This brings the biking trip 60 minutes.